What is the Greatest Common Factor of 59104 and 59120?

Greatest common factor (GCF) of 59104 and 59120 is 16.

GCF(59104,59120) = 16

We will now calculate the prime factors of 59104 and 59120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59104 and 59120.

How to find the GCF of 59104 and 59120?

We will first find the prime factorization of 59104 and 59120. After we will calculate the factors of 59104 and 59120 and find the biggest common factor number .

Step-1: Prime Factorization of 59104

Prime factors of 59104 are 2, 1847. Prime factorization of 59104 in exponential form is:

59104 = 2⁵ × 1847¹

Step-2: 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-3: Factors of 59104

List of positive integer factors of 59104 that divides 59104 without a remainder.

1, 2, 4, 8, 16, 32, 1847, 3694, 7388, 14776, 29552

Step-4: Factors of 59120

List of positive integer factors of 59120 that divides 59104 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59104 and 59120. The biggest common factor number is the GCF number.
So the greatest common factor 59104 and 59120 is 16.

Also check out the Least Common Multiple of 59104 and 59120