What is the Greatest Common Factor of 73125 and 73134?

Greatest common factor (GCF) of 73125 and 73134 is 9.

GCF(73125,73134) = 9

We will now calculate the prime factors of 73125 and 73134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73125 and 73134.

How to find the GCF of 73125 and 73134?

We will first find the prime factorization of 73125 and 73134. After we will calculate the factors of 73125 and 73134 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 73134

Prime factors of 73134 are 2, 3, 17, 239. Prime factorization of 73134 in exponential form is:

73134 = 2¹ × 3² × 17¹ × 239¹

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 73134

List of positive integer factors of 73134 that divides 73125 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 239, 306, 478, 717, 1434, 2151, 4063, 4302, 8126, 12189, 24378, 36567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73125 and 73134. The biggest common factor number is the GCF number.
So the greatest common factor 73125 and 73134 is 9.

Also check out the Least Common Multiple of 73125 and 73134