What is the Greatest Common Factor of 93510 and 93520?

Greatest common factor (GCF) of 93510 and 93520 is 10.

GCF(93510,93520) = 10

We will now calculate the prime factors of 93510 and 93520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93510 and 93520.

How to find the GCF of 93510 and 93520?

We will first find the prime factorization of 93510 and 93520. After we will calculate the factors of 93510 and 93520 and find the biggest common factor number .

Step-1: Prime Factorization of 93510

Prime factors of 93510 are 2, 3, 5, 1039. Prime factorization of 93510 in exponential form is:

93510 = 2¹ × 3² × 5¹ × 1039¹

Step-2: Prime Factorization of 93520

Prime factors of 93520 are 2, 5, 7, 167. Prime factorization of 93520 in exponential form is:

93520 = 2⁴ × 5¹ × 7¹ × 167¹

Step-3: Factors of 93510

List of positive integer factors of 93510 that divides 93510 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1039, 2078, 3117, 5195, 6234, 9351, 10390, 15585, 18702, 31170, 46755

Step-4: Factors of 93520

List of positive integer factors of 93520 that divides 93510 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 167, 280, 334, 560, 668, 835, 1169, 1336, 1670, 2338, 2672, 3340, 4676, 5845, 6680, 9352, 11690, 13360, 18704, 23380, 46760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93510 and 93520. The biggest common factor number is the GCF number.
So the greatest common factor 93510 and 93520 is 10.

Also check out the Least Common Multiple of 93510 and 93520