What is the Greatest Common Factor of 93090 and 93100?

Greatest common factor (GCF) of 93090 and 93100 is 10.

GCF(93090,93100) = 10

We will now calculate the prime factors of 93090 and 93100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93090 and 93100.

How to find the GCF of 93090 and 93100?

We will first find the prime factorization of 93090 and 93100. After we will calculate the factors of 93090 and 93100 and find the biggest common factor number .

Step-1: Prime Factorization of 93090

Prime factors of 93090 are 2, 3, 5, 29, 107. Prime factorization of 93090 in exponential form is:

93090 = 2¹ × 3¹ × 5¹ × 29¹ × 107¹

Step-2: 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-3: Factors of 93090

List of positive integer factors of 93090 that divides 93090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 107, 145, 174, 214, 290, 321, 435, 535, 642, 870, 1070, 1605, 3103, 3210, 6206, 9309, 15515, 18618, 31030, 46545

Step-4: Factors of 93100

List of positive integer factors of 93100 that divides 93090 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93090 and 93100. The biggest common factor number is the GCF number.
So the greatest common factor 93090 and 93100 is 10.

Also check out the Least Common Multiple of 93090 and 93100