What is the Greatest Common Factor of 94125 and 94140?

Greatest common factor (GCF) of 94125 and 94140 is 15.

GCF(94125,94140) = 15

We will now calculate the prime factors of 94125 and 94140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94125 and 94140.

How to find the GCF of 94125 and 94140?

We will first find the prime factorization of 94125 and 94140. After we will calculate the factors of 94125 and 94140 and find the biggest common factor number .

Step-1: Prime Factorization of 94125

Prime factors of 94125 are 3, 5, 251. Prime factorization of 94125 in exponential form is:

94125 = 3¹ × 5³ × 251¹

Step-2: Prime Factorization of 94140

Prime factors of 94140 are 2, 3, 5, 523. Prime factorization of 94140 in exponential form is:

94140 = 2² × 3² × 5¹ × 523¹

Step-3: Factors of 94125

List of positive integer factors of 94125 that divides 94125 without a remainder.

1, 3, 5, 15, 25, 75, 125, 251, 375, 753, 1255, 3765, 6275, 18825, 31375

Step-4: Factors of 94140

List of positive integer factors of 94140 that divides 94125 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 523, 1046, 1569, 2092, 2615, 3138, 4707, 5230, 6276, 7845, 9414, 10460, 15690, 18828, 23535, 31380, 47070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94125 and 94140. The biggest common factor number is the GCF number.
So the greatest common factor 94125 and 94140 is 15.

Also check out the Least Common Multiple of 94125 and 94140