What is the Greatest Common Factor of 59942 and 59959?

Greatest common factor (GCF) of 59942 and 59959 is 17.

GCF(59942,59959) = 17

We will now calculate the prime factors of 59942 and 59959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59942 and 59959.

How to find the GCF of 59942 and 59959?

We will first find the prime factorization of 59942 and 59959. After we will calculate the factors of 59942 and 59959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59959

Prime factors of 59959 are 17, 3527. Prime factorization of 59959 in exponential form is:

59959 = 17¹ × 3527¹

Step-3: Factors of 59942

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

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

Step-4: Factors of 59959

List of positive integer factors of 59959 that divides 59942 without a remainder.

1, 17, 3527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59942 and 59959. The biggest common factor number is the GCF number.
So the greatest common factor 59942 and 59959 is 17.

Also check out the Least Common Multiple of 59942 and 59959