What is the Greatest Common Factor of 59922 and 59942?

Greatest common factor (GCF) of 59922 and 59942 is 2.

GCF(59922,59942) = 2

We will now calculate the prime factors of 59922 and 59942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59922 and 59942.

How to find the GCF of 59922 and 59942?

We will first find the prime factorization of 59922 and 59942. After we will calculate the factors of 59922 and 59942 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 59942

Prime factors of 59942 are 2, 17, 41, 43. Prime factorization of 59942 in exponential form is:

59942 = 2¹ × 17¹ × 41¹ × 43¹

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 59942

List of positive integer factors of 59942 that divides 59922 without a remainder.

1, 2, 17, 34, 41, 43, 82, 86, 697, 731, 1394, 1462, 1763, 3526, 29971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59922 and 59942. The biggest common factor number is the GCF number.
So the greatest common factor 59922 and 59942 is 2.

Also check out the Least Common Multiple of 59922 and 59942