What is the Greatest Common Factor of 73116 and 73125?

Greatest common factor (GCF) of 73116 and 73125 is 9.

GCF(73116,73125) = 9

We will now calculate the prime factors of 73116 and 73125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73116 and 73125.

How to find the GCF of 73116 and 73125?

We will first find the prime factorization of 73116 and 73125. After we will calculate the factors of 73116 and 73125 and find the biggest common factor number .

Step-1: Prime Factorization of 73116

Prime factors of 73116 are 2, 3, 677. Prime factorization of 73116 in exponential form is:

73116 = 2² × 3³ × 677¹

Step-2: 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-3: Factors of 73116

List of positive integer factors of 73116 that divides 73116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 677, 1354, 2031, 2708, 4062, 6093, 8124, 12186, 18279, 24372, 36558

Step-4: Factors of 73125

List of positive integer factors of 73125 that divides 73116 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73116 and 73125. The biggest common factor number is the GCF number.
So the greatest common factor 73116 and 73125 is 9.

Also check out the Least Common Multiple of 73116 and 73125