What is the Greatest Common Factor of 63972 and 63986?

Greatest common factor (GCF) of 63972 and 63986 is 2.

GCF(63972,63986) = 2

We will now calculate the prime factors of 63972 and 63986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63972 and 63986.

How to find the GCF of 63972 and 63986?

We will first find the prime factorization of 63972 and 63986. After we will calculate the factors of 63972 and 63986 and find the biggest common factor number .

Step-1: Prime Factorization of 63972

Prime factors of 63972 are 2, 3, 1777. Prime factorization of 63972 in exponential form is:

63972 = 2² × 3² × 1777¹

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 63972

List of positive integer factors of 63972 that divides 63972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1777, 3554, 5331, 7108, 10662, 15993, 21324, 31986

Step-4: Factors of 63986

List of positive integer factors of 63986 that divides 63972 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 63972 and 63986. The biggest common factor number is the GCF number.
So the greatest common factor 63972 and 63986 is 2.

Also check out the Least Common Multiple of 63972 and 63986