What is the Greatest Common Factor of 93931 and 93942?

Greatest common factor (GCF) of 93931 and 93942 is 1.

GCF(93931,93942) = 1

We will now calculate the prime factors of 93931 and 93942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93931 and 93942.

How to find the GCF of 93931 and 93942?

We will first find the prime factorization of 93931 and 93942. After we will calculate the factors of 93931 and 93942 and find the biggest common factor number .

Step-1: Prime Factorization of 93931

Prime factors of 93931 are 29, 41, 79. Prime factorization of 93931 in exponential form is:

93931 = 29¹ × 41¹ × 79¹

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 93931

List of positive integer factors of 93931 that divides 93931 without a remainder.

1, 29, 41, 79, 1189, 2291, 3239

Step-4: Factors of 93942

List of positive integer factors of 93942 that divides 93931 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 93931 and 93942. The biggest common factor number is the GCF number.
So the greatest common factor 93931 and 93942 is 1.

Also check out the Least Common Multiple of 93931 and 93942