What is the Greatest Common Factor of 52298 and 52316?

Greatest common factor (GCF) of 52298 and 52316 is 2.

GCF(52298,52316) = 2

We will now calculate the prime factors of 52298 and 52316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52298 and 52316.

How to find the GCF of 52298 and 52316?

We will first find the prime factorization of 52298 and 52316. After we will calculate the factors of 52298 and 52316 and find the biggest common factor number .

Step-1: Prime Factorization of 52298

Prime factors of 52298 are 2, 79, 331. Prime factorization of 52298 in exponential form is:

52298 = 2¹ × 79¹ × 331¹

Step-2: Prime Factorization of 52316

Prime factors of 52316 are 2, 11, 29, 41. Prime factorization of 52316 in exponential form is:

52316 = 2² × 11¹ × 29¹ × 41¹

Step-3: Factors of 52298

List of positive integer factors of 52298 that divides 52298 without a remainder.

1, 2, 79, 158, 331, 662, 26149

Step-4: Factors of 52316

List of positive integer factors of 52316 that divides 52298 without a remainder.

1, 2, 4, 11, 22, 29, 41, 44, 58, 82, 116, 164, 319, 451, 638, 902, 1189, 1276, 1804, 2378, 4756, 13079, 26158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52298 and 52316. The biggest common factor number is the GCF number.
So the greatest common factor 52298 and 52316 is 2.

Also check out the Least Common Multiple of 52298 and 52316