What is the Greatest Common Factor of 93125 and 93145?

Greatest common factor (GCF) of 93125 and 93145 is 5.

GCF(93125,93145) = 5

We will now calculate the prime factors of 93125 and 93145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93125 and 93145.

How to find the GCF of 93125 and 93145?

We will first find the prime factorization of 93125 and 93145. After we will calculate the factors of 93125 and 93145 and find the biggest common factor number .

Step-1: Prime Factorization of 93125

Prime factors of 93125 are 5, 149. Prime factorization of 93125 in exponential form is:

93125 = 5⁴ × 149¹

Step-2: Prime Factorization of 93145

Prime factors of 93145 are 5, 13, 1433. Prime factorization of 93145 in exponential form is:

93145 = 5¹ × 13¹ × 1433¹

Step-3: Factors of 93125

List of positive integer factors of 93125 that divides 93125 without a remainder.

1, 5, 25, 125, 149, 625, 745, 3725, 18625

Step-4: Factors of 93145

List of positive integer factors of 93145 that divides 93125 without a remainder.

1, 5, 13, 65, 1433, 7165, 18629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93125 and 93145. The biggest common factor number is the GCF number.
So the greatest common factor 93125 and 93145 is 5.

Also check out the Least Common Multiple of 93125 and 93145