What is the Greatest Common Factor of 73125 and 73131?

Greatest common factor (GCF) of 73125 and 73131 is 3.

GCF(73125,73131) = 3

We will now calculate the prime factors of 73125 and 73131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73125 and 73131.

How to find the GCF of 73125 and 73131?

We will first find the prime factorization of 73125 and 73131. After we will calculate the factors of 73125 and 73131 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 73131

Prime factors of 73131 are 3, 19, 1283. Prime factorization of 73131 in exponential form is:

73131 = 3¹ × 19¹ × 1283¹

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 73131

List of positive integer factors of 73131 that divides 73125 without a remainder.

1, 3, 19, 57, 1283, 3849, 24377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73125 and 73131. The biggest common factor number is the GCF number.
So the greatest common factor 73125 and 73131 is 3.

Also check out the Least Common Multiple of 73125 and 73131