What is the Greatest Common Factor of 94725 and 94735?

Greatest common factor (GCF) of 94725 and 94735 is 5.

GCF(94725,94735) = 5

We will now calculate the prime factors of 94725 and 94735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94725 and 94735.

How to find the GCF of 94725 and 94735?

We will first find the prime factorization of 94725 and 94735. After we will calculate the factors of 94725 and 94735 and find the biggest common factor number .

Step-1: Prime Factorization of 94725

Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:

94725 = 3² × 5² × 421¹

Step-2: Prime Factorization of 94735

Prime factors of 94735 are 5, 18947. Prime factorization of 94735 in exponential form is:

94735 = 5¹ × 18947¹

Step-3: Factors of 94725

List of positive integer factors of 94725 that divides 94725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 421, 1263, 2105, 3789, 6315, 10525, 18945, 31575

Step-4: Factors of 94735

List of positive integer factors of 94735 that divides 94725 without a remainder.

1, 5, 18947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94725 and 94735. The biggest common factor number is the GCF number.
So the greatest common factor 94725 and 94735 is 5.

Also check out the Least Common Multiple of 94725 and 94735