What is the Greatest Common Factor of 93360 and 93380?

Greatest common factor (GCF) of 93360 and 93380 is 20.

GCF(93360,93380) = 20

We will now calculate the prime factors of 93360 and 93380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93360 and 93380.

How to find the GCF of 93360 and 93380?

We will first find the prime factorization of 93360 and 93380. After we will calculate the factors of 93360 and 93380 and find the biggest common factor number .

Step-1: Prime Factorization of 93360

Prime factors of 93360 are 2, 3, 5, 389. Prime factorization of 93360 in exponential form is:

93360 = 2⁴ × 3¹ × 5¹ × 389¹

Step-2: Prime Factorization of 93380

Prime factors of 93380 are 2, 5, 7, 23, 29. Prime factorization of 93380 in exponential form is:

93380 = 2² × 5¹ × 7¹ × 23¹ × 29¹

Step-3: Factors of 93360

List of positive integer factors of 93360 that divides 93360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 6224, 7780, 9336, 11670, 15560, 18672, 23340, 31120, 46680

Step-4: Factors of 93380

List of positive integer factors of 93380 that divides 93360 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 29, 35, 46, 58, 70, 92, 115, 116, 140, 145, 161, 203, 230, 290, 322, 406, 460, 580, 644, 667, 805, 812, 1015, 1334, 1610, 2030, 2668, 3220, 3335, 4060, 4669, 6670, 9338, 13340, 18676, 23345, 46690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93360 and 93380. The biggest common factor number is the GCF number.
So the greatest common factor 93360 and 93380 is 20.

Also check out the Least Common Multiple of 93360 and 93380