What is the Greatest Common Factor of 58122 and 58128?

Greatest common factor (GCF) of 58122 and 58128 is 6.

GCF(58122,58128) = 6

We will now calculate the prime factors of 58122 and 58128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58122 and 58128.

How to find the GCF of 58122 and 58128?

We will first find the prime factorization of 58122 and 58128. After we will calculate the factors of 58122 and 58128 and find the biggest common factor number .

Step-1: Prime Factorization of 58122

Prime factors of 58122 are 2, 3, 3229. Prime factorization of 58122 in exponential form is:

58122 = 2¹ × 3² × 3229¹

Step-2: Prime Factorization of 58128

Prime factors of 58128 are 2, 3, 7, 173. Prime factorization of 58128 in exponential form is:

58128 = 2⁴ × 3¹ × 7¹ × 173¹

Step-3: Factors of 58122

List of positive integer factors of 58122 that divides 58122 without a remainder.

1, 2, 3, 6, 9, 18, 3229, 6458, 9687, 19374, 29061

Step-4: Factors of 58128

List of positive integer factors of 58128 that divides 58122 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 173, 336, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 2768, 3633, 4152, 4844, 7266, 8304, 9688, 14532, 19376, 29064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58122 and 58128. The biggest common factor number is the GCF number.
So the greatest common factor 58122 and 58128 is 6.

Also check out the Least Common Multiple of 58122 and 58128