What is the Greatest Common Factor of 73120 and 73135?

Greatest common factor (GCF) of 73120 and 73135 is 5.

GCF(73120,73135) = 5

We will now calculate the prime factors of 73120 and 73135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73120 and 73135.

How to find the GCF of 73120 and 73135?

We will first find the prime factorization of 73120 and 73135. After we will calculate the factors of 73120 and 73135 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 73135

Prime factors of 73135 are 5, 14627. Prime factorization of 73135 in exponential form is:

73135 = 5¹ × 14627¹

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 73135

List of positive integer factors of 73135 that divides 73120 without a remainder.

1, 5, 14627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73120 and 73135. The biggest common factor number is the GCF number.
So the greatest common factor 73120 and 73135 is 5.

Also check out the Least Common Multiple of 73120 and 73135