GCF of 2375 and 1007

What is the GCF of 2375 and 1007?


GCF of 2375 and 1007

is 19

Formula How to

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What is the Greatest Common Factor of 2375 and 1007? 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 2375 and 1007 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 2375.
    5, 5, 5, 19
  2. Find the prime factors of the second number 1007.
    19, 53
  3. Multiply of all the common prime factors is the GCF value. Which is,
    19

Factors Method:

  1. Find the factors of the first number 2375.
    1, 5, 19, 25, 95, 125, 475, 2375
  2. Find the factors of the second number 1007.
    1, 19, 53, 1007
  3. The biggest common factor number is the GCF value. Which is,
    19

GCF (Greatest Common Factor) of 2375 and 1007 is 19.

GCD (Greatest Common Divisor) of 2375 and 1007 is 19.

HCF (Highest Common Factor) of 2375 and 1007 is 19.

Number GCF LCM
2375 & 1002 1 2379750
2375 & 1003 1 2382125
2375 & 1004 1 2384500
2375 & 1005 5 477375
2375 & 1006 1 2389250
2375 & 1007 19 125875
2375 & 1008 1 2394000
2375 & 1009 1 2396375
2375 & 1010 5 479750
2375 & 1011 1 2401125
2375 & 1012 1 2403500