GCF of 1000 and 12075

What is the GCF of 1000 and 12075?

GCF of 1000 and 12075

is 25

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Greatest Common Factor

What is the Greatest Common Factor of 1000 and 12075? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 1000 and 12075 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1000.
    2, 2, 2, 5, 5, 5
  2. Find the prime factors of the second number 12075.
    3, 5, 5, 7, 23
  3. Multiply of all the common prime factors is the GCF value. Which is,
    25

Factors Method:

  1. Find the factors of the first number 1000.
    1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
  2. Find the factors of the second number 12075.
    1, 3, 5, 7, 15, 21, 23, 25, 35, 69, 75, 105, 115, 161, 175, 345, 483, 525, 575, 805, 1725, 2415, 4025, 12075
  3. The biggest common factor number is the GCF value. Which is,
    25

Number GCF LCM
1000 & 12070 10 1207000
1000 & 12071 1 12071000
1000 & 12072 8 1509000
1000 & 12073 1 12073000
1000 & 12074 2 6037000
1000 & 12075 25 483000
1000 & 12076 4 3019000
1000 & 12077 1 12077000
1000 & 12078 2 6039000
1000 & 12079 1 12079000
1000 & 12080 40 302000

GCF (Greatest Common Factor) of 1000 and 12075 is 25.

GCD (Greatest Common Divisor) of 1000 and 12075 is 25.

HCF (Highest Common Factor) of 1000 and 12075 is 25.
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