What is the Greatest Common Factor of 82602 and 82615?

Greatest common factor (GCF) of 82602 and 82615 is 13.

GCF(82602,82615) = 13

We will now calculate the prime factors of 82602 and 82615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82602 and 82615.

How to find the GCF of 82602 and 82615?

We will first find the prime factorization of 82602 and 82615. After we will calculate the factors of 82602 and 82615 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 82615

Prime factors of 82615 are 5, 13, 31, 41. Prime factorization of 82615 in exponential form is:

82615 = 5¹ × 13¹ × 31¹ × 41¹

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 82615

List of positive integer factors of 82615 that divides 82602 without a remainder.

1, 5, 13, 31, 41, 65, 155, 205, 403, 533, 1271, 2015, 2665, 6355, 16523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82602 and 82615. The biggest common factor number is the GCF number.
So the greatest common factor 82602 and 82615 is 13.

Also check out the Least Common Multiple of 82602 and 82615