What is the Greatest Common Factor of 94025 and 94035?

Greatest common factor (GCF) of 94025 and 94035 is 5.

GCF(94025,94035) = 5

We will now calculate the prime factors of 94025 and 94035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94025 and 94035.

How to find the GCF of 94025 and 94035?

We will first find the prime factorization of 94025 and 94035. After we will calculate the factors of 94025 and 94035 and find the biggest common factor number .

Step-1: Prime Factorization of 94025

Prime factors of 94025 are 5, 3761. Prime factorization of 94025 in exponential form is:

94025 = 5² × 3761¹

Step-2: Prime Factorization of 94035

Prime factors of 94035 are 3, 5, 6269. Prime factorization of 94035 in exponential form is:

94035 = 3¹ × 5¹ × 6269¹

Step-3: Factors of 94025

List of positive integer factors of 94025 that divides 94025 without a remainder.

1, 5, 25, 3761, 18805

Step-4: Factors of 94035

List of positive integer factors of 94035 that divides 94025 without a remainder.

1, 3, 5, 15, 6269, 18807, 31345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94025 and 94035. The biggest common factor number is the GCF number.
So the greatest common factor 94025 and 94035 is 5.

Also check out the Least Common Multiple of 94025 and 94035