GCF of 1000 and 1375

What is the GCF of 1000 and 1375?

GCF of 1000 and 1375

is 125

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Greatest Common Factor

What is the Greatest Common Factor of 1000 and 1375? 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 1375 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 1375.
    5, 5, 5, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    125

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 1375.
    1, 5, 11, 25, 55, 125, 275, 1375
  3. The biggest common factor number is the GCF value. Which is,
    125

GCF (Greatest Common Factor) of 1000 and 1375 is 125.

GCD (Greatest Common Divisor) of 1000 and 1375 is 125.

HCF (Highest Common Factor) of 1000 and 1375 is 125.

Number GCF LCM
1000 & 1370 10 137000
1000 & 1371 1 1371000
1000 & 1372 4 343000
1000 & 1373 1 1373000
1000 & 1374 2 687000
1000 & 1375 125 11000
1000 & 1376 8 172000
1000 & 1377 1 1377000
1000 & 1378 2 689000
1000 & 1379 1 1379000
1000 & 1380 20 69000
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