What is the Greatest Common Factor of 93500 and 93520?

Greatest common factor (GCF) of 93500 and 93520 is 20.

GCF(93500,93520) = 20

We will now calculate the prime factors of 93500 and 93520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93500 and 93520.

How to find the GCF of 93500 and 93520?

We will first find the prime factorization of 93500 and 93520. After we will calculate the factors of 93500 and 93520 and find the biggest common factor number .

Step-1: Prime Factorization of 93500

Prime factors of 93500 are 2, 5, 11, 17. Prime factorization of 93500 in exponential form is:

93500 = 2² × 5³ × 11¹ × 17¹

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 93500

List of positive integer factors of 93500 that divides 93500 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 125, 170, 187, 220, 250, 275, 340, 374, 425, 500, 550, 748, 850, 935, 1100, 1375, 1700, 1870, 2125, 2750, 3740, 4250, 4675, 5500, 8500, 9350, 18700, 23375, 46750

Step-4: Factors of 93520

List of positive integer factors of 93520 that divides 93500 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 93500 and 93520. The biggest common factor number is the GCF number.
So the greatest common factor 93500 and 93520 is 20.

Also check out the Least Common Multiple of 93500 and 93520