What is the Greatest Common Factor of 59012 and 59016?

Greatest common factor (GCF) of 59012 and 59016 is 4.

GCF(59012,59016) = 4

We will now calculate the prime factors of 59012 and 59016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59012 and 59016.

How to find the GCF of 59012 and 59016?

We will first find the prime factorization of 59012 and 59016. After we will calculate the factors of 59012 and 59016 and find the biggest common factor number .

Step-1: Prime Factorization of 59012

Prime factors of 59012 are 2, 14753. Prime factorization of 59012 in exponential form is:

59012 = 2² × 14753¹

Step-2: Prime Factorization of 59016

Prime factors of 59016 are 2, 3, 2459. Prime factorization of 59016 in exponential form is:

59016 = 2³ × 3¹ × 2459¹

Step-3: Factors of 59012

List of positive integer factors of 59012 that divides 59012 without a remainder.

1, 2, 4, 14753, 29506

Step-4: Factors of 59016

List of positive integer factors of 59016 that divides 59012 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2459, 4918, 7377, 9836, 14754, 19672, 29508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59012 and 59016. The biggest common factor number is the GCF number.
So the greatest common factor 59012 and 59016 is 4.

Also check out the Least Common Multiple of 59012 and 59016