What is the Greatest Common Factor of 63925 and 63940?

Greatest common factor (GCF) of 63925 and 63940 is 5.

GCF(63925,63940) = 5

We will now calculate the prime factors of 63925 and 63940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63925 and 63940.

How to find the GCF of 63925 and 63940?

We will first find the prime factorization of 63925 and 63940. After we will calculate the factors of 63925 and 63940 and find the biggest common factor number .

Step-1: Prime Factorization of 63925

Prime factors of 63925 are 5, 2557. Prime factorization of 63925 in exponential form is:

63925 = 5² × 2557¹

Step-2: Prime Factorization of 63940

Prime factors of 63940 are 2, 5, 23, 139. Prime factorization of 63940 in exponential form is:

63940 = 2² × 5¹ × 23¹ × 139¹

Step-3: Factors of 63925

List of positive integer factors of 63925 that divides 63925 without a remainder.

1, 5, 25, 2557, 12785

Step-4: Factors of 63940

List of positive integer factors of 63940 that divides 63925 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 139, 230, 278, 460, 556, 695, 1390, 2780, 3197, 6394, 12788, 15985, 31970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63925 and 63940. The biggest common factor number is the GCF number.
So the greatest common factor 63925 and 63940 is 5.

Also check out the Least Common Multiple of 63925 and 63940