What is the Greatest Common Factor of 52605 and 52615?

Greatest common factor (GCF) of 52605 and 52615 is 5.

GCF(52605,52615) = 5

We will now calculate the prime factors of 52605 and 52615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52605 and 52615.

How to find the GCF of 52605 and 52615?

We will first find the prime factorization of 52605 and 52615. After we will calculate the factors of 52605 and 52615 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 52615

Prime factors of 52615 are 5, 17, 619. Prime factorization of 52615 in exponential form is:

52615 = 5¹ × 17¹ × 619¹

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 52615

List of positive integer factors of 52615 that divides 52605 without a remainder.

1, 5, 17, 85, 619, 3095, 10523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52605 and 52615. The biggest common factor number is the GCF number.
So the greatest common factor 52605 and 52615 is 5.

Also check out the Least Common Multiple of 52605 and 52615