GCF of 1001 and 625

What is the GCF of 1001 and 625?


GCF of 1001 and 625

is 1

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What is the Greatest Common Factor of 1001 and 625? 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 1001 and 625 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1001.
    7, 11, 13
  2. Find the prime factors of the second number 625.
    5, 5, 5, 5
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1001.
    1, 7, 11, 13, 77, 91, 143, 1001
  2. Find the factors of the second number 625.
    1, 5, 25, 125, 625
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1001 and 625 is 1.

GCD (Greatest Common Divisor) of 1001 and 625 is 1.

HCF (Highest Common Factor) of 1001 and 625 is 1.

Number GCF LCM
1001 & 620 1 620620
1001 & 621 1 621621
1001 & 622 1 622622
1001 & 623 7 89089
1001 & 624 13 48048
1001 & 625 1 625625
1001 & 626 1 626626
1001 & 627 11 57057
1001 & 628 1 628628
1001 & 629 1 629629
1001 & 630 7 90090