What is the Greatest Common Factor of 93100 and 93120?

Greatest common factor (GCF) of 93100 and 93120 is 20.

GCF(93100,93120) = 20

We will now calculate the prime factors of 93100 and 93120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93100 and 93120.

How to find the GCF of 93100 and 93120?

We will first find the prime factorization of 93100 and 93120. After we will calculate the factors of 93100 and 93120 and find the biggest common factor number .

Step-1: Prime Factorization of 93100

Prime factors of 93100 are 2, 5, 7, 19. Prime factorization of 93100 in exponential form is:

93100 = 2² × 5² × 7² × 19¹

Step-2: Prime Factorization of 93120

Prime factors of 93120 are 2, 3, 5, 97. Prime factorization of 93120 in exponential form is:

93120 = 2⁶ × 3¹ × 5¹ × 97¹

Step-3: Factors of 93100

List of positive integer factors of 93100 that divides 93100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 49, 50, 70, 76, 95, 98, 100, 133, 140, 175, 190, 196, 245, 266, 350, 380, 475, 490, 532, 665, 700, 931, 950, 980, 1225, 1330, 1862, 1900, 2450, 2660, 3325, 3724, 4655, 4900, 6650, 9310, 13300, 18620, 23275, 46550

Step-4: Factors of 93120

List of positive integer factors of 93120 that divides 93100 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 97, 120, 160, 192, 194, 240, 291, 320, 388, 480, 485, 582, 776, 960, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3104, 3880, 4656, 5820, 6208, 7760, 9312, 11640, 15520, 18624, 23280, 31040, 46560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93100 and 93120. The biggest common factor number is the GCF number.
So the greatest common factor 93100 and 93120 is 20.

Also check out the Least Common Multiple of 93100 and 93120