What is the Greatest Common Factor of 52626 and 52633?

Greatest common factor (GCF) of 52626 and 52633 is 7.

GCF(52626,52633) = 7

We will now calculate the prime factors of 52626 and 52633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52626 and 52633.

How to find the GCF of 52626 and 52633?

We will first find the prime factorization of 52626 and 52633. After we will calculate the factors of 52626 and 52633 and find the biggest common factor number .

Step-1: Prime Factorization of 52626

Prime factors of 52626 are 2, 3, 7, 179. Prime factorization of 52626 in exponential form is:

52626 = 2¹ × 3¹ × 7² × 179¹

Step-2: Prime Factorization of 52633

Prime factors of 52633 are 7, 73, 103. Prime factorization of 52633 in exponential form is:

52633 = 7¹ × 73¹ × 103¹

Step-3: Factors of 52626

List of positive integer factors of 52626 that divides 52626 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 179, 294, 358, 537, 1074, 1253, 2506, 3759, 7518, 8771, 17542, 26313

Step-4: Factors of 52633

List of positive integer factors of 52633 that divides 52626 without a remainder.

1, 7, 73, 103, 511, 721, 7519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52626 and 52633. The biggest common factor number is the GCF number.
So the greatest common factor 52626 and 52633 is 7.

Also check out the Least Common Multiple of 52626 and 52633