What is the Greatest Common Factor of 52663 and 52676?

Greatest common factor (GCF) of 52663 and 52676 is 13.

GCF(52663,52676) = 13

We will now calculate the prime factors of 52663 and 52676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52663 and 52676.

How to find the GCF of 52663 and 52676?

We will first find the prime factorization of 52663 and 52676. After we will calculate the factors of 52663 and 52676 and find the biggest common factor number .

Step-1: Prime Factorization of 52663

Prime factors of 52663 are 13, 4051. Prime factorization of 52663 in exponential form is:

52663 = 13¹ × 4051¹

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 52663

List of positive integer factors of 52663 that divides 52663 without a remainder.

1, 13, 4051

Step-4: Factors of 52676

List of positive integer factors of 52676 that divides 52663 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 52663 and 52676. The biggest common factor number is the GCF number.
So the greatest common factor 52663 and 52676 is 13.

Also check out the Least Common Multiple of 52663 and 52676