What is the Greatest Common Factor of 94425 and 94440?

Greatest common factor (GCF) of 94425 and 94440 is 15.

GCF(94425,94440) = 15

We will now calculate the prime factors of 94425 and 94440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94425 and 94440.

How to find the GCF of 94425 and 94440?

We will first find the prime factorization of 94425 and 94440. After we will calculate the factors of 94425 and 94440 and find the biggest common factor number .

Step-1: Prime Factorization of 94425

Prime factors of 94425 are 3, 5, 1259. Prime factorization of 94425 in exponential form is:

94425 = 3¹ × 5² × 1259¹

Step-2: Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 2³ × 3¹ × 5¹ × 787¹

Step-3: Factors of 94425

List of positive integer factors of 94425 that divides 94425 without a remainder.

1, 3, 5, 15, 25, 75, 1259, 3777, 6295, 18885, 31475

Step-4: Factors of 94440

List of positive integer factors of 94440 that divides 94425 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 787, 1574, 2361, 3148, 3935, 4722, 6296, 7870, 9444, 11805, 15740, 18888, 23610, 31480, 47220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94425 and 94440. The biggest common factor number is the GCF number.
So the greatest common factor 94425 and 94440 is 15.

Also check out the Least Common Multiple of 94425 and 94440