What is the Greatest Common Factor of 94125 and 94142?

Greatest common factor (GCF) of 94125 and 94142 is 1.

GCF(94125,94142) = 1

We will now calculate the prime factors of 94125 and 94142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94125 and 94142.

How to find the GCF of 94125 and 94142?

We will first find the prime factorization of 94125 and 94142. After we will calculate the factors of 94125 and 94142 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 94142

Prime factors of 94142 are 2, 103, 457. Prime factorization of 94142 in exponential form is:

94142 = 2¹ × 103¹ × 457¹

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 94142

List of positive integer factors of 94142 that divides 94125 without a remainder.

1, 2, 103, 206, 457, 914, 47071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94125 and 94142. The biggest common factor number is the GCF number.
So the greatest common factor 94125 and 94142 is 1.

Also check out the Least Common Multiple of 94125 and 94142