What is the Greatest Common Factor of 52605 and 52623?

Greatest common factor (GCF) of 52605 and 52623 is 9.

GCF(52605,52623) = 9

We will now calculate the prime factors of 52605 and 52623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52605 and 52623.

How to find the GCF of 52605 and 52623?

We will first find the prime factorization of 52605 and 52623. After we will calculate the factors of 52605 and 52623 and find the biggest common factor number .

Step-1: Prime Factorization of 52605

Prime factors of 52605 are 3, 5, 7, 167. Prime factorization of 52605 in exponential form is:

52605 = 3² × 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 52623

Prime factors of 52623 are 3, 1949. Prime factorization of 52623 in exponential form is:

52623 = 3³ × 1949¹

Step-3: Factors of 52605

List of positive integer factors of 52605 that divides 52605 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 167, 315, 501, 835, 1169, 1503, 2505, 3507, 5845, 7515, 10521, 17535

Step-4: Factors of 52623

List of positive integer factors of 52623 that divides 52605 without a remainder.

1, 3, 9, 27, 1949, 5847, 17541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52605 and 52623. The biggest common factor number is the GCF number.
So the greatest common factor 52605 and 52623 is 9.

Also check out the Least Common Multiple of 52605 and 52623