What is the Greatest Common Factor of 63964 and 63970?

Greatest common factor (GCF) of 63964 and 63970 is 2.

GCF(63964,63970) = 2

We will now calculate the prime factors of 63964 and 63970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63964 and 63970.

How to find the GCF of 63964 and 63970?

We will first find the prime factorization of 63964 and 63970. After we will calculate the factors of 63964 and 63970 and find the biggest common factor number .

Step-1: Prime Factorization of 63964

Prime factors of 63964 are 2, 15991. Prime factorization of 63964 in exponential form is:

63964 = 2² × 15991¹

Step-2: Prime Factorization of 63970

Prime factors of 63970 are 2, 5, 6397. Prime factorization of 63970 in exponential form is:

63970 = 2¹ × 5¹ × 6397¹

Step-3: Factors of 63964

List of positive integer factors of 63964 that divides 63964 without a remainder.

1, 2, 4, 15991, 31982

Step-4: Factors of 63970

List of positive integer factors of 63970 that divides 63964 without a remainder.

1, 2, 5, 10, 6397, 12794, 31985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63964 and 63970. The biggest common factor number is the GCF number.
So the greatest common factor 63964 and 63970 is 2.

Also check out the Least Common Multiple of 63964 and 63970