What is the Greatest Common Factor of 92672 and 92684?

Greatest common factor (GCF) of 92672 and 92684 is 4.

GCF(92672,92684) = 4

We will now calculate the prime factors of 92672 and 92684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92672 and 92684.

How to find the GCF of 92672 and 92684?

We will first find the prime factorization of 92672 and 92684. After we will calculate the factors of 92672 and 92684 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 92684

Prime factors of 92684 are 2, 17, 29, 47. Prime factorization of 92684 in exponential form is:

92684 = 2² × 17¹ × 29¹ × 47¹

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 92684

List of positive integer factors of 92684 that divides 92672 without a remainder.

1, 2, 4, 17, 29, 34, 47, 58, 68, 94, 116, 188, 493, 799, 986, 1363, 1598, 1972, 2726, 3196, 5452, 23171, 46342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92672 and 92684. The biggest common factor number is the GCF number.
So the greatest common factor 92672 and 92684 is 4.

Also check out the Least Common Multiple of 92672 and 92684