What is the Greatest Common Factor of 73120 and 73133?

Greatest common factor (GCF) of 73120 and 73133 is 1.

GCF(73120,73133) = 1

We will now calculate the prime factors of 73120 and 73133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73120 and 73133.

How to find the GCF of 73120 and 73133?

We will first find the prime factorization of 73120 and 73133. After we will calculate the factors of 73120 and 73133 and find the biggest common factor number .

Step-1: Prime Factorization of 73120

Prime factors of 73120 are 2, 5, 457. Prime factorization of 73120 in exponential form is:

73120 = 2⁵ × 5¹ × 457¹

Step-2: Prime Factorization of 73133

Prime factors of 73133 are 73133. Prime factorization of 73133 in exponential form is:

73133 = 73133¹

Step-3: Factors of 73120

List of positive integer factors of 73120 that divides 73120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 457, 914, 1828, 2285, 3656, 4570, 7312, 9140, 14624, 18280, 36560

Step-4: Factors of 73133

List of positive integer factors of 73133 that divides 73120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73120 and 73133. The biggest common factor number is the GCF number.
So the greatest common factor 73120 and 73133 is 1.

Also check out the Least Common Multiple of 73120 and 73133