What is the Greatest Common Factor of 82602 and 82617?

Greatest common factor (GCF) of 82602 and 82617 is 3.

GCF(82602,82617) = 3

We will now calculate the prime factors of 82602 and 82617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82602 and 82617.

How to find the GCF of 82602 and 82617?

We will first find the prime factorization of 82602 and 82617. After we will calculate the factors of 82602 and 82617 and find the biggest common factor number .

Step-1: Prime Factorization of 82602

Prime factors of 82602 are 2, 3, 13, 353. Prime factorization of 82602 in exponential form is:

82602 = 2¹ × 3² × 13¹ × 353¹

Step-2: Prime Factorization of 82617

Prime factors of 82617 are 3, 27539. Prime factorization of 82617 in exponential form is:

82617 = 3¹ × 27539¹

Step-3: Factors of 82602

List of positive integer factors of 82602 that divides 82602 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 353, 706, 1059, 2118, 3177, 4589, 6354, 9178, 13767, 27534, 41301

Step-4: Factors of 82617

List of positive integer factors of 82617 that divides 82602 without a remainder.

1, 3, 27539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82602 and 82617. The biggest common factor number is the GCF number.
So the greatest common factor 82602 and 82617 is 3.

Also check out the Least Common Multiple of 82602 and 82617