What is the Greatest Common Factor of 59844 and 59859?

Greatest common factor (GCF) of 59844 and 59859 is 3.

GCF(59844,59859) = 3

We will now calculate the prime factors of 59844 and 59859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59844 and 59859.

How to find the GCF of 59844 and 59859?

We will first find the prime factorization of 59844 and 59859. After we will calculate the factors of 59844 and 59859 and find the biggest common factor number .

Step-1: Prime Factorization of 59844

Prime factors of 59844 are 2, 3, 4987. Prime factorization of 59844 in exponential form is:

59844 = 2² × 3¹ × 4987¹

Step-2: Prime Factorization of 59859

Prime factors of 59859 are 3, 739. Prime factorization of 59859 in exponential form is:

59859 = 3⁴ × 739¹

Step-3: Factors of 59844

List of positive integer factors of 59844 that divides 59844 without a remainder.

1, 2, 3, 4, 6, 12, 4987, 9974, 14961, 19948, 29922

Step-4: Factors of 59859

List of positive integer factors of 59859 that divides 59844 without a remainder.

1, 3, 9, 27, 81, 739, 2217, 6651, 19953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59844 and 59859. The biggest common factor number is the GCF number.
So the greatest common factor 59844 and 59859 is 3.

Also check out the Least Common Multiple of 59844 and 59859