What is the Greatest Common Factor of 87954 and 87966?

Greatest common factor (GCF) of 87954 and 87966 is 6.

GCF(87954,87966) = 6

We will now calculate the prime factors of 87954 and 87966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87954 and 87966.

How to find the GCF of 87954 and 87966?

We will first find the prime factorization of 87954 and 87966. After we will calculate the factors of 87954 and 87966 and find the biggest common factor number .

Step-1: Prime Factorization of 87954

Prime factors of 87954 are 2, 3, 107, 137. Prime factorization of 87954 in exponential form is:

87954 = 2¹ × 3¹ × 107¹ × 137¹

Step-2: Prime Factorization of 87966

Prime factors of 87966 are 2, 3, 181. Prime factorization of 87966 in exponential form is:

87966 = 2¹ × 3⁵ × 181¹

Step-3: Factors of 87954

List of positive integer factors of 87954 that divides 87954 without a remainder.

1, 2, 3, 6, 107, 137, 214, 274, 321, 411, 642, 822, 14659, 29318, 43977

Step-4: Factors of 87966

List of positive integer factors of 87966 that divides 87954 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 181, 243, 362, 486, 543, 1086, 1629, 3258, 4887, 9774, 14661, 29322, 43983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87954 and 87966. The biggest common factor number is the GCF number.
So the greatest common factor 87954 and 87966 is 6.

Also check out the Least Common Multiple of 87954 and 87966