What is the Greatest Common Factor of 58314 and 58332?

Greatest common factor (GCF) of 58314 and 58332 is 6.

GCF(58314,58332) = 6

We will now calculate the prime factors of 58314 and 58332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58314 and 58332.

How to find the GCF of 58314 and 58332?

We will first find the prime factorization of 58314 and 58332. After we will calculate the factors of 58314 and 58332 and find the biggest common factor number .

Step-1: Prime Factorization of 58314

Prime factors of 58314 are 2, 3, 9719. Prime factorization of 58314 in exponential form is:

58314 = 2¹ × 3¹ × 9719¹

Step-2: Prime Factorization of 58332

Prime factors of 58332 are 2, 3, 4861. Prime factorization of 58332 in exponential form is:

58332 = 2² × 3¹ × 4861¹

Step-3: Factors of 58314

List of positive integer factors of 58314 that divides 58314 without a remainder.

1, 2, 3, 6, 9719, 19438, 29157

Step-4: Factors of 58332

List of positive integer factors of 58332 that divides 58314 without a remainder.

1, 2, 3, 4, 6, 12, 4861, 9722, 14583, 19444, 29166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58314 and 58332. The biggest common factor number is the GCF number.
So the greatest common factor 58314 and 58332 is 6.

Also check out the Least Common Multiple of 58314 and 58332