What is the Greatest Common Factor of 86515 and 86530?

Greatest common factor (GCF) of 86515 and 86530 is 5.

GCF(86515,86530) = 5

We will now calculate the prime factors of 86515 and 86530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86515 and 86530.

How to find the GCF of 86515 and 86530?

We will first find the prime factorization of 86515 and 86530. After we will calculate the factors of 86515 and 86530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86530

Prime factors of 86530 are 2, 5, 17, 509. Prime factorization of 86530 in exponential form is:

86530 = 2¹ × 5¹ × 17¹ × 509¹

Step-3: Factors of 86515

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

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

Step-4: Factors of 86530

List of positive integer factors of 86530 that divides 86515 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 509, 1018, 2545, 5090, 8653, 17306, 43265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86515 and 86530. The biggest common factor number is the GCF number.
So the greatest common factor 86515 and 86530 is 5.

Also check out the Least Common Multiple of 86515 and 86530