What is the Greatest Common Factor of 93942 and 93959?

Greatest common factor (GCF) of 93942 and 93959 is 17.

GCF(93942,93959) = 17

We will now calculate the prime factors of 93942 and 93959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93942 and 93959.

How to find the GCF of 93942 and 93959?

We will first find the prime factorization of 93942 and 93959. After we will calculate the factors of 93942 and 93959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93959

Prime factors of 93959 are 17, 5527. Prime factorization of 93959 in exponential form is:

93959 = 17¹ × 5527¹

Step-3: Factors of 93942

List of positive integer factors of 93942 that divides 93942 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

Step-4: Factors of 93959

List of positive integer factors of 93959 that divides 93942 without a remainder.

1, 17, 5527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93942 and 93959. The biggest common factor number is the GCF number.
So the greatest common factor 93942 and 93959 is 17.

Also check out the Least Common Multiple of 93942 and 93959