What is the Greatest Common Factor of 59922 and 59938?

Greatest common factor (GCF) of 59922 and 59938 is 2.

GCF(59922,59938) = 2

We will now calculate the prime factors of 59922 and 59938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59922 and 59938.

How to find the GCF of 59922 and 59938?

We will first find the prime factorization of 59922 and 59938. After we will calculate the factors of 59922 and 59938 and find the biggest common factor number .

Step-1: Prime Factorization of 59922

Prime factors of 59922 are 2, 3, 3329. Prime factorization of 59922 in exponential form is:

59922 = 2¹ × 3² × 3329¹

Step-2: Prime Factorization of 59938

Prime factors of 59938 are 2, 23, 1303. Prime factorization of 59938 in exponential form is:

59938 = 2¹ × 23¹ × 1303¹

Step-3: Factors of 59922

List of positive integer factors of 59922 that divides 59922 without a remainder.

1, 2, 3, 6, 9, 18, 3329, 6658, 9987, 19974, 29961

Step-4: Factors of 59938

List of positive integer factors of 59938 that divides 59922 without a remainder.

1, 2, 23, 46, 1303, 2606, 29969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59922 and 59938. The biggest common factor number is the GCF number.
So the greatest common factor 59922 and 59938 is 2.

Also check out the Least Common Multiple of 59922 and 59938