What is the Greatest Common Factor of 92260 and 92274?

Greatest common factor (GCF) of 92260 and 92274 is 14.

GCF(92260,92274) = 14

We will now calculate the prime factors of 92260 and 92274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92260 and 92274.

How to find the GCF of 92260 and 92274?

We will first find the prime factorization of 92260 and 92274. After we will calculate the factors of 92260 and 92274 and find the biggest common factor number .

Step-1: Prime Factorization of 92260

Prime factors of 92260 are 2, 5, 7, 659. Prime factorization of 92260 in exponential form is:

92260 = 2² × 5¹ × 7¹ × 659¹

Step-2: Prime Factorization of 92274

Prime factors of 92274 are 2, 3, 7, 13. Prime factorization of 92274 in exponential form is:

92274 = 2¹ × 3¹ × 7¹ × 13³

Step-3: Factors of 92260

List of positive integer factors of 92260 that divides 92260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 659, 1318, 2636, 3295, 4613, 6590, 9226, 13180, 18452, 23065, 46130

Step-4: Factors of 92274

List of positive integer factors of 92274 that divides 92260 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2197, 2366, 3549, 4394, 6591, 7098, 13182, 15379, 30758, 46137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92260 and 92274. The biggest common factor number is the GCF number.
So the greatest common factor 92260 and 92274 is 14.

Also check out the Least Common Multiple of 92260 and 92274