What is the Greatest Common Factor of 59944 and 59958?

Greatest common factor (GCF) of 59944 and 59958 is 2.

GCF(59944,59958) = 2

We will now calculate the prime factors of 59944 and 59958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59944 and 59958.

How to find the GCF of 59944 and 59958?

We will first find the prime factorization of 59944 and 59958. After we will calculate the factors of 59944 and 59958 and find the biggest common factor number .

Step-1: Prime Factorization of 59944

Prime factors of 59944 are 2, 59, 127. Prime factorization of 59944 in exponential form is:

59944 = 2³ × 59¹ × 127¹

Step-2: Prime Factorization of 59958

Prime factors of 59958 are 2, 3, 3331. Prime factorization of 59958 in exponential form is:

59958 = 2¹ × 3² × 3331¹

Step-3: Factors of 59944

List of positive integer factors of 59944 that divides 59944 without a remainder.

1, 2, 4, 8, 59, 118, 127, 236, 254, 472, 508, 1016, 7493, 14986, 29972

Step-4: Factors of 59958

List of positive integer factors of 59958 that divides 59944 without a remainder.

1, 2, 3, 6, 9, 18, 3331, 6662, 9993, 19986, 29979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59944 and 59958. The biggest common factor number is the GCF number.
So the greatest common factor 59944 and 59958 is 2.

Also check out the Least Common Multiple of 59944 and 59958