What is the Greatest Common Factor of 59120 and 59138?

Greatest common factor (GCF) of 59120 and 59138 is 2.

GCF(59120,59138) = 2

We will now calculate the prime factors of 59120 and 59138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59120 and 59138.

How to find the GCF of 59120 and 59138?

We will first find the prime factorization of 59120 and 59138. After we will calculate the factors of 59120 and 59138 and find the biggest common factor number .

Step-1: Prime Factorization of 59120

Prime factors of 59120 are 2, 5, 739. Prime factorization of 59120 in exponential form is:

59120 = 2⁴ × 5¹ × 739¹

Step-2: Prime Factorization of 59138

Prime factors of 59138 are 2, 29569. Prime factorization of 59138 in exponential form is:

59138 = 2¹ × 29569¹

Step-3: Factors of 59120

List of positive integer factors of 59120 that divides 59120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 739, 1478, 2956, 3695, 5912, 7390, 11824, 14780, 29560

Step-4: Factors of 59138

List of positive integer factors of 59138 that divides 59120 without a remainder.

1, 2, 29569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59120 and 59138. The biggest common factor number is the GCF number.
So the greatest common factor 59120 and 59138 is 2.

Also check out the Least Common Multiple of 59120 and 59138