What is the Greatest Common Factor of 73125 and 73140?

Greatest common factor (GCF) of 73125 and 73140 is 15.

GCF(73125,73140) = 15

We will now calculate the prime factors of 73125 and 73140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73125 and 73140.

How to find the GCF of 73125 and 73140?

We will first find the prime factorization of 73125 and 73140. After we will calculate the factors of 73125 and 73140 and find the biggest common factor number .

Step-1: Prime Factorization of 73125

Prime factors of 73125 are 3, 5, 13. Prime factorization of 73125 in exponential form is:

73125 = 3² × 5⁴ × 13¹

Step-2: Prime Factorization of 73140

Prime factors of 73140 are 2, 3, 5, 23, 53. Prime factorization of 73140 in exponential form is:

73140 = 2² × 3¹ × 5¹ × 23¹ × 53¹

Step-3: Factors of 73125

List of positive integer factors of 73125 that divides 73125 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 125, 195, 225, 325, 375, 585, 625, 975, 1125, 1625, 1875, 2925, 4875, 5625, 8125, 14625, 24375

Step-4: Factors of 73140

List of positive integer factors of 73140 that divides 73125 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 53, 60, 69, 92, 106, 115, 138, 159, 212, 230, 265, 276, 318, 345, 460, 530, 636, 690, 795, 1060, 1219, 1380, 1590, 2438, 3180, 3657, 4876, 6095, 7314, 12190, 14628, 18285, 24380, 36570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73125 and 73140. The biggest common factor number is the GCF number.
So the greatest common factor 73125 and 73140 is 15.

Also check out the Least Common Multiple of 73125 and 73140