What is the Greatest Common Factor of 52268 and 52274?

Greatest common factor (GCF) of 52268 and 52274 is 2.

GCF(52268,52274) = 2

We will now calculate the prime factors of 52268 and 52274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52268 and 52274.

How to find the GCF of 52268 and 52274?

We will first find the prime factorization of 52268 and 52274. After we will calculate the factors of 52268 and 52274 and find the biggest common factor number .

Step-1: Prime Factorization of 52268

Prime factors of 52268 are 2, 73, 179. Prime factorization of 52268 in exponential form is:

52268 = 2² × 73¹ × 179¹

Step-2: Prime Factorization of 52274

Prime factors of 52274 are 2, 59, 443. Prime factorization of 52274 in exponential form is:

52274 = 2¹ × 59¹ × 443¹

Step-3: Factors of 52268

List of positive integer factors of 52268 that divides 52268 without a remainder.

1, 2, 4, 73, 146, 179, 292, 358, 716, 13067, 26134

Step-4: Factors of 52274

List of positive integer factors of 52274 that divides 52268 without a remainder.

1, 2, 59, 118, 443, 886, 26137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52268 and 52274. The biggest common factor number is the GCF number.
So the greatest common factor 52268 and 52274 is 2.

Also check out the Least Common Multiple of 52268 and 52274