What is the Greatest Common Factor of 93084 and 93090?

Greatest common factor (GCF) of 93084 and 93090 is 6.

GCF(93084,93090) = 6

We will now calculate the prime factors of 93084 and 93090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93084 and 93090.

How to find the GCF of 93084 and 93090?

We will first find the prime factorization of 93084 and 93090. After we will calculate the factors of 93084 and 93090 and find the biggest common factor number .

Step-1: Prime Factorization of 93084

Prime factors of 93084 are 2, 3, 7757. Prime factorization of 93084 in exponential form is:

93084 = 2² × 3¹ × 7757¹

Step-2: 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-3: Factors of 93084

List of positive integer factors of 93084 that divides 93084 without a remainder.

1, 2, 3, 4, 6, 12, 7757, 15514, 23271, 31028, 46542

Step-4: Factors of 93090

List of positive integer factors of 93090 that divides 93084 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93084 and 93090. The biggest common factor number is the GCF number.
So the greatest common factor 93084 and 93090 is 6.

Also check out the Least Common Multiple of 93084 and 93090