What is the Greatest Common Factor of 52635 and 52641?

Greatest common factor (GCF) of 52635 and 52641 is 3.

GCF(52635,52641) = 3

We will now calculate the prime factors of 52635 and 52641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52635 and 52641.

How to find the GCF of 52635 and 52641?

We will first find the prime factorization of 52635 and 52641. After we will calculate the factors of 52635 and 52641 and find the biggest common factor number .

Step-1: Prime Factorization of 52635

Prime factors of 52635 are 3, 5, 11, 29. Prime factorization of 52635 in exponential form is:

52635 = 3¹ × 5¹ × 11² × 29¹

Step-2: Prime Factorization of 52641

Prime factors of 52641 are 3, 5849. Prime factorization of 52641 in exponential form is:

52641 = 3² × 5849¹

Step-3: Factors of 52635

List of positive integer factors of 52635 that divides 52635 without a remainder.

1, 3, 5, 11, 15, 29, 33, 55, 87, 121, 145, 165, 319, 363, 435, 605, 957, 1595, 1815, 3509, 4785, 10527, 17545

Step-4: Factors of 52641

List of positive integer factors of 52641 that divides 52635 without a remainder.

1, 3, 9, 5849, 17547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52635 and 52641. The biggest common factor number is the GCF number.
So the greatest common factor 52635 and 52641 is 3.

Also check out the Least Common Multiple of 52635 and 52641