What is the Greatest Common Factor of 94208 and 94225?

Greatest common factor (GCF) of 94208 and 94225 is 1.

GCF(94208,94225) = 1

We will now calculate the prime factors of 94208 and 94225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94208 and 94225.

How to find the GCF of 94208 and 94225?

We will first find the prime factorization of 94208 and 94225. After we will calculate the factors of 94208 and 94225 and find the biggest common factor number .

Step-1: Prime Factorization of 94208

Prime factors of 94208 are 2, 23. Prime factorization of 94208 in exponential form is:

94208 = 2¹² × 23¹

Step-2: Prime Factorization of 94225

Prime factors of 94225 are 5, 3769. Prime factorization of 94225 in exponential form is:

94225 = 5² × 3769¹

Step-3: Factors of 94208

List of positive integer factors of 94208 that divides 94208 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1024, 1472, 2048, 2944, 4096, 5888, 11776, 23552, 47104

Step-4: Factors of 94225

List of positive integer factors of 94225 that divides 94208 without a remainder.

1, 5, 25, 3769, 18845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94208 and 94225. The biggest common factor number is the GCF number.
So the greatest common factor 94208 and 94225 is 1.

Also check out the Least Common Multiple of 94208 and 94225