What is the Greatest Common Factor of 63974 and 63986?

Greatest common factor (GCF) of 63974 and 63986 is 2.

GCF(63974,63986) = 2

We will now calculate the prime factors of 63974 and 63986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63974 and 63986.

How to find the GCF of 63974 and 63986?

We will first find the prime factorization of 63974 and 63986. After we will calculate the factors of 63974 and 63986 and find the biggest common factor number .

Step-1: Prime Factorization of 63974

Prime factors of 63974 are 2, 29, 1103. Prime factorization of 63974 in exponential form is:

63974 = 2¹ × 29¹ × 1103¹

Step-2: Prime Factorization of 63986

Prime factors of 63986 are 2, 13, 23, 107. Prime factorization of 63986 in exponential form is:

63986 = 2¹ × 13¹ × 23¹ × 107¹

Step-3: Factors of 63974

List of positive integer factors of 63974 that divides 63974 without a remainder.

1, 2, 29, 58, 1103, 2206, 31987

Step-4: Factors of 63986

List of positive integer factors of 63986 that divides 63974 without a remainder.

1, 2, 13, 23, 26, 46, 107, 214, 299, 598, 1391, 2461, 2782, 4922, 31993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63974 and 63986. The biggest common factor number is the GCF number.
So the greatest common factor 63974 and 63986 is 2.

Also check out the Least Common Multiple of 63974 and 63986