What is the Greatest Common Factor of 86952 and 86966?

Greatest common factor (GCF) of 86952 and 86966 is 2.

GCF(86952,86966) = 2

We will now calculate the prime factors of 86952 and 86966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86952 and 86966.

How to find the GCF of 86952 and 86966?

We will first find the prime factorization of 86952 and 86966. After we will calculate the factors of 86952 and 86966 and find the biggest common factor number .

Step-1: Prime Factorization of 86952

Prime factors of 86952 are 2, 3, 3623. Prime factorization of 86952 in exponential form is:

86952 = 2³ × 3¹ × 3623¹

Step-2: Prime Factorization of 86966

Prime factors of 86966 are 2, 11, 59, 67. Prime factorization of 86966 in exponential form is:

86966 = 2¹ × 11¹ × 59¹ × 67¹

Step-3: Factors of 86952

List of positive integer factors of 86952 that divides 86952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3623, 7246, 10869, 14492, 21738, 28984, 43476

Step-4: Factors of 86966

List of positive integer factors of 86966 that divides 86952 without a remainder.

1, 2, 11, 22, 59, 67, 118, 134, 649, 737, 1298, 1474, 3953, 7906, 43483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86952 and 86966. The biggest common factor number is the GCF number.
So the greatest common factor 86952 and 86966 is 2.

Also check out the Least Common Multiple of 86952 and 86966