What is the Greatest Common Factor of 86502 and 86515?

Greatest common factor (GCF) of 86502 and 86515 is 13.

GCF(86502,86515) = 13

We will now calculate the prime factors of 86502 and 86515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86502 and 86515.

How to find the GCF of 86502 and 86515?

We will first find the prime factorization of 86502 and 86515. After we will calculate the factors of 86502 and 86515 and find the biggest common factor number .

Step-1: Prime Factorization of 86502

Prime factors of 86502 are 2, 3, 13, 1109. Prime factorization of 86502 in exponential form is:

86502 = 2¹ × 3¹ × 13¹ × 1109¹

Step-2: Prime Factorization of 86515

Prime factors of 86515 are 5, 11, 13. Prime factorization of 86515 in exponential form is:

86515 = 5¹ × 11³ × 13¹

Step-3: Factors of 86502

List of positive integer factors of 86502 that divides 86502 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1109, 2218, 3327, 6654, 14417, 28834, 43251

Step-4: Factors of 86515

List of positive integer factors of 86515 that divides 86502 without a remainder.

1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1331, 1573, 6655, 7865, 17303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86502 and 86515. The biggest common factor number is the GCF number.
So the greatest common factor 86502 and 86515 is 13.

Also check out the Least Common Multiple of 86502 and 86515