What is the Greatest Common Factor of 86928 and 86946?

Greatest common factor (GCF) of 86928 and 86946 is 6.

GCF(86928,86946) = 6

We will now calculate the prime factors of 86928 and 86946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86928 and 86946.

How to find the GCF of 86928 and 86946?

We will first find the prime factorization of 86928 and 86946. After we will calculate the factors of 86928 and 86946 and find the biggest common factor number .

Step-1: Prime Factorization of 86928

Prime factors of 86928 are 2, 3, 1811. Prime factorization of 86928 in exponential form is:

86928 = 2⁴ × 3¹ × 1811¹

Step-2: 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-3: Factors of 86928

List of positive integer factors of 86928 that divides 86928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1811, 3622, 5433, 7244, 10866, 14488, 21732, 28976, 43464

Step-4: Factors of 86946

List of positive integer factors of 86946 that divides 86928 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86928 and 86946. The biggest common factor number is the GCF number.
So the greatest common factor 86928 and 86946 is 6.

Also check out the Least Common Multiple of 86928 and 86946