What is the Greatest Common Factor of 92672 and 92688?

Greatest common factor (GCF) of 92672 and 92688 is 16.

GCF(92672,92688) = 16

We will now calculate the prime factors of 92672 and 92688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92672 and 92688.

How to find the GCF of 92672 and 92688?

We will first find the prime factorization of 92672 and 92688. After we will calculate the factors of 92672 and 92688 and find the biggest common factor number .

Step-1: Prime Factorization of 92672

Prime factors of 92672 are 2, 181. Prime factorization of 92672 in exponential form is:

92672 = 2⁹ × 181¹

Step-2: Prime Factorization of 92688

Prime factors of 92688 are 2, 3, 1931. Prime factorization of 92688 in exponential form is:

92688 = 2⁴ × 3¹ × 1931¹

Step-3: Factors of 92672

List of positive integer factors of 92672 that divides 92672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 181, 256, 362, 512, 724, 1448, 2896, 5792, 11584, 23168, 46336

Step-4: Factors of 92688

List of positive integer factors of 92688 that divides 92672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1931, 3862, 5793, 7724, 11586, 15448, 23172, 30896, 46344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92672 and 92688. The biggest common factor number is the GCF number.
So the greatest common factor 92672 and 92688 is 16.

Also check out the Least Common Multiple of 92672 and 92688