GCF of 1000 and 175

What is the GCF of 1000 and 175?

GCF of 1000 and 175

is 25

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Greatest Common Factor

What is the Greatest Common Factor of 1000 and 175? 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 175 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 175.
    5, 5, 7
  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 175.
    1, 5, 7, 25, 35, 175
  3. The biggest common factor number is the GCF value. Which is,
    25

GCF (Greatest Common Factor) of 1000 and 175 is 25.

GCD (Greatest Common Divisor) of 1000 and 175 is 25.

HCF (Highest Common Factor) of 1000 and 175 is 25.

Number GCF LCM
1000 & 170 10 17000
1000 & 171 1 171000
1000 & 172 4 43000
1000 & 173 1 173000
1000 & 174 2 87000
1000 & 175 25 7000
1000 & 176 8 22000
1000 & 177 1 177000
1000 & 178 2 89000
1000 & 179 1 179000
1000 & 180 20 9000
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