GCF of 1004 and 624

What is the GCF of 1004 and 624?

GCF of 1004 and 624

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 1004 and 624? 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 1004 and 624 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1004.
    2, 2, 251
  2. Find the prime factors of the second number 624.
    2, 2, 2, 2, 3, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 1004.
    1, 2, 4, 251, 502, 1004
  2. Find the factors of the second number 624.
    1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 1004 and 624 is 4.

GCD (Greatest Common Divisor) of 1004 and 624 is 4.

HCF (Highest Common Factor) of 1004 and 624 is 4.

Number GCF LCM
1004 & 619 1 621476
1004 & 620 4 155620
1004 & 621 1 623484
1004 & 622 2 312244
1004 & 623 1 625492
1004 & 624 4 156624
1004 & 625 1 627500
1004 & 626 2 314252
1004 & 627 1 629508
1004 & 628 4 157628
1004 & 629 1 631516
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