What is the Greatest Common Factor of 86946 and 86952?

Greatest common factor (GCF) of 86946 and 86952 is 6.

GCF(86946,86952) = 6

We will now calculate the prime factors of 86946 and 86952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86946 and 86952.

How to find the GCF of 86946 and 86952?

We will first find the prime factorization of 86946 and 86952. After we will calculate the factors of 86946 and 86952 and find the biggest common factor number .

Step-1: Prime Factorization of 86946

Prime factors of 86946 are 2, 3, 43, 337. Prime factorization of 86946 in exponential form is:

86946 = 2¹ × 3¹ × 43¹ × 337¹

Step-2: 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-3: Factors of 86946

List of positive integer factors of 86946 that divides 86946 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 337, 674, 1011, 2022, 14491, 28982, 43473

Step-4: Factors of 86952

List of positive integer factors of 86952 that divides 86946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86946 and 86952. The biggest common factor number is the GCF number.
So the greatest common factor 86946 and 86952 is 6.

Also check out the Least Common Multiple of 86946 and 86952