What is the Greatest Common Factor of 52608 and 52617?

Greatest common factor (GCF) of 52608 and 52617 is 3.

GCF(52608,52617) = 3

We will now calculate the prime factors of 52608 and 52617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52608 and 52617.

How to find the GCF of 52608 and 52617?

We will first find the prime factorization of 52608 and 52617. After we will calculate the factors of 52608 and 52617 and find the biggest common factor number .

Step-1: Prime Factorization of 52608

Prime factors of 52608 are 2, 3, 137. Prime factorization of 52608 in exponential form is:

52608 = 2⁷ × 3¹ × 137¹

Step-2: Prime Factorization of 52617

Prime factors of 52617 are 3, 17539. Prime factorization of 52617 in exponential form is:

52617 = 3¹ × 17539¹

Step-3: Factors of 52608

List of positive integer factors of 52608 that divides 52608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 137, 192, 274, 384, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576, 8768, 13152, 17536, 26304

Step-4: Factors of 52617

List of positive integer factors of 52617 that divides 52608 without a remainder.

1, 3, 17539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52608 and 52617. The biggest common factor number is the GCF number.
So the greatest common factor 52608 and 52617 is 3.

Also check out the Least Common Multiple of 52608 and 52617