What is the Greatest Common Factor of 92608 and 92620?

Greatest common factor (GCF) of 92608 and 92620 is 4.

GCF(92608,92620) = 4

We will now calculate the prime factors of 92608 and 92620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92608 and 92620.

How to find the GCF of 92608 and 92620?

We will first find the prime factorization of 92608 and 92620. After we will calculate the factors of 92608 and 92620 and find the biggest common factor number .

Step-1: Prime Factorization of 92608

Prime factors of 92608 are 2, 1447. Prime factorization of 92608 in exponential form is:

92608 = 2⁶ × 1447¹

Step-2: Prime Factorization of 92620

Prime factors of 92620 are 2, 5, 11, 421. Prime factorization of 92620 in exponential form is:

92620 = 2² × 5¹ × 11¹ × 421¹

Step-3: Factors of 92608

List of positive integer factors of 92608 that divides 92608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1447, 2894, 5788, 11576, 23152, 46304

Step-4: Factors of 92620

List of positive integer factors of 92620 that divides 92608 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 421, 842, 1684, 2105, 4210, 4631, 8420, 9262, 18524, 23155, 46310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92608 and 92620. The biggest common factor number is the GCF number.
So the greatest common factor 92608 and 92620 is 4.

Also check out the Least Common Multiple of 92608 and 92620