What is the Greatest Common Factor of 93100 and 93108?

Greatest common factor (GCF) of 93100 and 93108 is 4.

GCF(93100,93108) = 4

We will now calculate the prime factors of 93100 and 93108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93100 and 93108.

How to find the GCF of 93100 and 93108?

We will first find the prime factorization of 93100 and 93108. After we will calculate the factors of 93100 and 93108 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 93108

Prime factors of 93108 are 2, 3, 7759. Prime factorization of 93108 in exponential form is:

93108 = 2² × 3¹ × 7759¹

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 93108

List of positive integer factors of 93108 that divides 93100 without a remainder.

1, 2, 3, 4, 6, 12, 7759, 15518, 23277, 31036, 46554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93100 and 93108. The biggest common factor number is the GCF number.
So the greatest common factor 93100 and 93108 is 4.

Also check out the Least Common Multiple of 93100 and 93108