What is the Greatest Common Factor of 73100 and 73120?

Greatest common factor (GCF) of 73100 and 73120 is 20.

GCF(73100,73120) = 20

We will now calculate the prime factors of 73100 and 73120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73100 and 73120.

How to find the GCF of 73100 and 73120?

We will first find the prime factorization of 73100 and 73120. After we will calculate the factors of 73100 and 73120 and find the biggest common factor number .

Step-1: Prime Factorization of 73100

Prime factors of 73100 are 2, 5, 17, 43. Prime factorization of 73100 in exponential form is:

73100 = 2² × 5² × 17¹ × 43¹

Step-2: 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-3: Factors of 73100

List of positive integer factors of 73100 that divides 73100 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 43, 50, 68, 85, 86, 100, 170, 172, 215, 340, 425, 430, 731, 850, 860, 1075, 1462, 1700, 2150, 2924, 3655, 4300, 7310, 14620, 18275, 36550

Step-4: Factors of 73120

List of positive integer factors of 73120 that divides 73100 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73100 and 73120. The biggest common factor number is the GCF number.
So the greatest common factor 73100 and 73120 is 20.

Also check out the Least Common Multiple of 73100 and 73120