What is the Greatest Common Factor of 58944 and 58958?

Greatest common factor (GCF) of 58944 and 58958 is 2.

GCF(58944,58958) = 2

We will now calculate the prime factors of 58944 and 58958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58944 and 58958.

How to find the GCF of 58944 and 58958?

We will first find the prime factorization of 58944 and 58958. After we will calculate the factors of 58944 and 58958 and find the biggest common factor number .

Step-1: Prime Factorization of 58944

Prime factors of 58944 are 2, 3, 307. Prime factorization of 58944 in exponential form is:

58944 = 2⁶ × 3¹ × 307¹

Step-2: Prime Factorization of 58958

Prime factors of 58958 are 2, 41, 719. Prime factorization of 58958 in exponential form is:

58958 = 2¹ × 41¹ × 719¹

Step-3: Factors of 58944

List of positive integer factors of 58944 that divides 58944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736, 19648, 29472

Step-4: Factors of 58958

List of positive integer factors of 58958 that divides 58944 without a remainder.

1, 2, 41, 82, 719, 1438, 29479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58944 and 58958. The biggest common factor number is the GCF number.
So the greatest common factor 58944 and 58958 is 2.

Also check out the Least Common Multiple of 58944 and 58958