What is the Greatest Common Factor of 52605 and 52616?

Greatest common factor (GCF) of 52605 and 52616 is 1.

GCF(52605,52616) = 1

We will now calculate the prime factors of 52605 and 52616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52605 and 52616.

How to find the GCF of 52605 and 52616?

We will first find the prime factorization of 52605 and 52616. After we will calculate the factors of 52605 and 52616 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 52616

Prime factors of 52616 are 2, 6577. Prime factorization of 52616 in exponential form is:

52616 = 2³ × 6577¹

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 52616

List of positive integer factors of 52616 that divides 52605 without a remainder.

1, 2, 4, 8, 6577, 13154, 26308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52605 and 52616. The biggest common factor number is the GCF number.
So the greatest common factor 52605 and 52616 is 1.

Also check out the Least Common Multiple of 52605 and 52616