What is the Greatest Common Factor of 92672 and 92680?

Greatest common factor (GCF) of 92672 and 92680 is 8.

GCF(92672,92680) = 8

We will now calculate the prime factors of 92672 and 92680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92672 and 92680.

How to find the GCF of 92672 and 92680?

We will first find the prime factorization of 92672 and 92680. After we will calculate the factors of 92672 and 92680 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 92680

Prime factors of 92680 are 2, 5, 7, 331. Prime factorization of 92680 in exponential form is:

92680 = 2³ × 5¹ × 7¹ × 331¹

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 92680

List of positive integer factors of 92680 that divides 92672 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 331, 662, 1324, 1655, 2317, 2648, 3310, 4634, 6620, 9268, 11585, 13240, 18536, 23170, 46340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92672 and 92680. The biggest common factor number is the GCF number.
So the greatest common factor 92672 and 92680 is 8.

Also check out the Least Common Multiple of 92672 and 92680