What is the Greatest Common Factor of 93922 and 93942?

Greatest common factor (GCF) of 93922 and 93942 is 2.

GCF(93922,93942) = 2

We will now calculate the prime factors of 93922 and 93942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93922 and 93942.

How to find the GCF of 93922 and 93942?

We will first find the prime factorization of 93922 and 93942. After we will calculate the factors of 93922 and 93942 and find the biggest common factor number .

Step-1: Prime Factorization of 93922

Prime factors of 93922 are 2, 151, 311. Prime factorization of 93922 in exponential form is:

93922 = 2¹ × 151¹ × 311¹

Step-2: Prime Factorization of 93942

Prime factors of 93942 are 2, 3, 17, 307. Prime factorization of 93942 in exponential form is:

93942 = 2¹ × 3² × 17¹ × 307¹

Step-3: Factors of 93922

List of positive integer factors of 93922 that divides 93922 without a remainder.

1, 2, 151, 302, 311, 622, 46961

Step-4: Factors of 93942

List of positive integer factors of 93942 that divides 93922 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306, 307, 614, 921, 1842, 2763, 5219, 5526, 10438, 15657, 31314, 46971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93922 and 93942. The biggest common factor number is the GCF number.
So the greatest common factor 93922 and 93942 is 2.

Also check out the Least Common Multiple of 93922 and 93942