What is the Greatest Common Factor of 73120 and 73130?

Greatest common factor (GCF) of 73120 and 73130 is 10.

GCF(73120,73130) = 10

We will now calculate the prime factors of 73120 and 73130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73120 and 73130.

How to find the GCF of 73120 and 73130?

We will first find the prime factorization of 73120 and 73130. After we will calculate the factors of 73120 and 73130 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 73130

Prime factors of 73130 are 2, 5, 71, 103. Prime factorization of 73130 in exponential form is:

73130 = 2¹ × 5¹ × 71¹ × 103¹

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 73130

List of positive integer factors of 73130 that divides 73120 without a remainder.

1, 2, 5, 10, 71, 103, 142, 206, 355, 515, 710, 1030, 7313, 14626, 36565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73120 and 73130. The biggest common factor number is the GCF number.
So the greatest common factor 73120 and 73130 is 10.

Also check out the Least Common Multiple of 73120 and 73130