What is the Greatest Common Factor of 92970 and 92985?

Greatest common factor (GCF) of 92970 and 92985 is 15.

GCF(92970,92985) = 15

We will now calculate the prime factors of 92970 and 92985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92970 and 92985.

How to find the GCF of 92970 and 92985?

We will first find the prime factorization of 92970 and 92985. After we will calculate the factors of 92970 and 92985 and find the biggest common factor number .

Step-1: Prime Factorization of 92970

Prime factors of 92970 are 2, 3, 5, 1033. Prime factorization of 92970 in exponential form is:

92970 = 2¹ × 3² × 5¹ × 1033¹

Step-2: Prime Factorization of 92985

Prime factors of 92985 are 3, 5, 6199. Prime factorization of 92985 in exponential form is:

92985 = 3¹ × 5¹ × 6199¹

Step-3: Factors of 92970

List of positive integer factors of 92970 that divides 92970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1033, 2066, 3099, 5165, 6198, 9297, 10330, 15495, 18594, 30990, 46485

Step-4: Factors of 92985

List of positive integer factors of 92985 that divides 92970 without a remainder.

1, 3, 5, 15, 6199, 18597, 30995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92970 and 92985. The biggest common factor number is the GCF number.
So the greatest common factor 92970 and 92985 is 15.

Also check out the Least Common Multiple of 92970 and 92985