What is the Greatest Common Factor of 52605 and 52610?

Greatest common factor (GCF) of 52605 and 52610 is 5.

GCF(52605,52610) = 5

We will now calculate the prime factors of 52605 and 52610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52605 and 52610.

How to find the GCF of 52605 and 52610?

We will first find the prime factorization of 52605 and 52610. After we will calculate the factors of 52605 and 52610 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 52610

Prime factors of 52610 are 2, 5, 5261. Prime factorization of 52610 in exponential form is:

52610 = 2¹ × 5¹ × 5261¹

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 52610

List of positive integer factors of 52610 that divides 52605 without a remainder.

1, 2, 5, 10, 5261, 10522, 26305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52605 and 52610. The biggest common factor number is the GCF number.
So the greatest common factor 52605 and 52610 is 5.

Also check out the Least Common Multiple of 52605 and 52610