What is the Greatest Common Factor of 92604 and 92620?

Greatest common factor (GCF) of 92604 and 92620 is 4.

GCF(92604,92620) = 4

We will now calculate the prime factors of 92604 and 92620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92604 and 92620.

How to find the GCF of 92604 and 92620?

We will first find the prime factorization of 92604 and 92620. After we will calculate the factors of 92604 and 92620 and find the biggest common factor number .

Step-1: Prime Factorization of 92604

Prime factors of 92604 are 2, 3, 7717. Prime factorization of 92604 in exponential form is:

92604 = 2² × 3¹ × 7717¹

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 92604

List of positive integer factors of 92604 that divides 92604 without a remainder.

1, 2, 3, 4, 6, 12, 7717, 15434, 23151, 30868, 46302

Step-4: Factors of 92620

List of positive integer factors of 92620 that divides 92604 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 92604 and 92620. The biggest common factor number is the GCF number.
So the greatest common factor 92604 and 92620 is 4.

Also check out the Least Common Multiple of 92604 and 92620