What is the Greatest Common Factor of 52602 and 52617?

Greatest common factor (GCF) of 52602 and 52617 is 3.

GCF(52602,52617) = 3

We will now calculate the prime factors of 52602 and 52617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52602 and 52617.

How to find the GCF of 52602 and 52617?

We will first find the prime factorization of 52602 and 52617. After we will calculate the factors of 52602 and 52617 and find the biggest common factor number .

Step-1: Prime Factorization of 52602

Prime factors of 52602 are 2, 3, 11, 797. Prime factorization of 52602 in exponential form is:

52602 = 2¹ × 3¹ × 11¹ × 797¹

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 52602

List of positive integer factors of 52602 that divides 52602 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 797, 1594, 2391, 4782, 8767, 17534, 26301

Step-4: Factors of 52617

List of positive integer factors of 52617 that divides 52602 without a remainder.

1, 3, 17539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52602 and 52617. The biggest common factor number is the GCF number.
So the greatest common factor 52602 and 52617 is 3.

Also check out the Least Common Multiple of 52602 and 52617