What is the Greatest Common Factor of 73107 and 73125?

Greatest common factor (GCF) of 73107 and 73125 is 9.

GCF(73107,73125) = 9

We will now calculate the prime factors of 73107 and 73125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73107 and 73125.

How to find the GCF of 73107 and 73125?

We will first find the prime factorization of 73107 and 73125. After we will calculate the factors of 73107 and 73125 and find the biggest common factor number .

Step-1: Prime Factorization of 73107

Prime factors of 73107 are 3, 8123. Prime factorization of 73107 in exponential form is:

73107 = 3² × 8123¹

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 73107

List of positive integer factors of 73107 that divides 73107 without a remainder.

1, 3, 9, 8123, 24369

Step-4: Factors of 73125

List of positive integer factors of 73125 that divides 73107 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 73107 and 73125. The biggest common factor number is the GCF number.
So the greatest common factor 73107 and 73125 is 9.

Also check out the Least Common Multiple of 73107 and 73125