What is the Greatest Common Factor of 93520 and 93540?

Greatest common factor (GCF) of 93520 and 93540 is 20.

GCF(93520,93540) = 20

We will now calculate the prime factors of 93520 and 93540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93520 and 93540.

How to find the GCF of 93520 and 93540?

We will first find the prime factorization of 93520 and 93540. After we will calculate the factors of 93520 and 93540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93540

Prime factors of 93540 are 2, 3, 5, 1559. Prime factorization of 93540 in exponential form is:

93540 = 2² × 3¹ × 5¹ × 1559¹

Step-3: Factors of 93520

List of positive integer factors of 93520 that divides 93520 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

Step-4: Factors of 93540

List of positive integer factors of 93540 that divides 93520 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1559, 3118, 4677, 6236, 7795, 9354, 15590, 18708, 23385, 31180, 46770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93520 and 93540. The biggest common factor number is the GCF number.
So the greatest common factor 93520 and 93540 is 20.

Also check out the Least Common Multiple of 93520 and 93540