What is the Greatest Common Factor of 49120 and 49133?

Greatest common factor (GCF) of 49120 and 49133 is 1.

GCF(49120,49133) = 1

We will now calculate the prime factors of 49120 and 49133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49120 and 49133.

How to find the GCF of 49120 and 49133?

We will first find the prime factorization of 49120 and 49133. After we will calculate the factors of 49120 and 49133 and find the biggest common factor number .

Step-1: Prime Factorization of 49120

Prime factors of 49120 are 2, 5, 307. Prime factorization of 49120 in exponential form is:

49120 = 2⁵ × 5¹ × 307¹

Step-2: Prime Factorization of 49133

Prime factors of 49133 are 7, 7019. Prime factorization of 49133 in exponential form is:

49133 = 7¹ × 7019¹

Step-3: Factors of 49120

List of positive integer factors of 49120 that divides 49120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 307, 614, 1228, 1535, 2456, 3070, 4912, 6140, 9824, 12280, 24560

Step-4: Factors of 49133

List of positive integer factors of 49133 that divides 49120 without a remainder.

1, 7, 7019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49120 and 49133. The biggest common factor number is the GCF number.
So the greatest common factor 49120 and 49133 is 1.

Also check out the Least Common Multiple of 49120 and 49133