What is the Greatest Common Factor of 52658 and 52676?

Greatest common factor (GCF) of 52658 and 52676 is 2.

GCF(52658,52676) = 2

We will now calculate the prime factors of 52658 and 52676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52658 and 52676.

How to find the GCF of 52658 and 52676?

We will first find the prime factorization of 52658 and 52676. After we will calculate the factors of 52658 and 52676 and find the biggest common factor number .

Step-1: Prime Factorization of 52658

Prime factors of 52658 are 2, 113, 233. Prime factorization of 52658 in exponential form is:

52658 = 2¹ × 113¹ × 233¹

Step-2: Prime Factorization of 52676

Prime factors of 52676 are 2, 13, 1013. Prime factorization of 52676 in exponential form is:

52676 = 2² × 13¹ × 1013¹

Step-3: Factors of 52658

List of positive integer factors of 52658 that divides 52658 without a remainder.

1, 2, 113, 226, 233, 466, 26329

Step-4: Factors of 52676

List of positive integer factors of 52676 that divides 52658 without a remainder.

1, 2, 4, 13, 26, 52, 1013, 2026, 4052, 13169, 26338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52658 and 52676. The biggest common factor number is the GCF number.
So the greatest common factor 52658 and 52676 is 2.

Also check out the Least Common Multiple of 52658 and 52676