What is the Greatest Common Factor of 58144 and 58164?

Greatest common factor (GCF) of 58144 and 58164 is 4.

GCF(58144,58164) = 4

We will now calculate the prime factors of 58144 and 58164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58144 and 58164.

How to find the GCF of 58144 and 58164?

We will first find the prime factorization of 58144 and 58164. After we will calculate the factors of 58144 and 58164 and find the biggest common factor number .

Step-1: Prime Factorization of 58144

Prime factors of 58144 are 2, 23, 79. Prime factorization of 58144 in exponential form is:

58144 = 2⁵ × 23¹ × 79¹

Step-2: Prime Factorization of 58164

Prime factors of 58164 are 2, 3, 37, 131. Prime factorization of 58164 in exponential form is:

58164 = 2² × 3¹ × 37¹ × 131¹

Step-3: Factors of 58144

List of positive integer factors of 58144 that divides 58144 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 79, 92, 158, 184, 316, 368, 632, 736, 1264, 1817, 2528, 3634, 7268, 14536, 29072

Step-4: Factors of 58164

List of positive integer factors of 58164 that divides 58144 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 131, 148, 222, 262, 393, 444, 524, 786, 1572, 4847, 9694, 14541, 19388, 29082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58144 and 58164. The biggest common factor number is the GCF number.
So the greatest common factor 58144 and 58164 is 4.

Also check out the Least Common Multiple of 58144 and 58164