What is the Greatest Common Factor of 94928 and 94945?

Greatest common factor (GCF) of 94928 and 94945 is 17.

GCF(94928,94945) = 17

We will now calculate the prime factors of 94928 and 94945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94928 and 94945.

How to find the GCF of 94928 and 94945?

We will first find the prime factorization of 94928 and 94945. After we will calculate the factors of 94928 and 94945 and find the biggest common factor number .

Step-1: Prime Factorization of 94928

Prime factors of 94928 are 2, 17, 349. Prime factorization of 94928 in exponential form is:

94928 = 2⁴ × 17¹ × 349¹

Step-2: Prime Factorization of 94945

Prime factors of 94945 are 5, 17, 1117. Prime factorization of 94945 in exponential form is:

94945 = 5¹ × 17¹ × 1117¹

Step-3: Factors of 94928

List of positive integer factors of 94928 that divides 94928 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 349, 698, 1396, 2792, 5584, 5933, 11866, 23732, 47464

Step-4: Factors of 94945

List of positive integer factors of 94945 that divides 94928 without a remainder.

1, 5, 17, 85, 1117, 5585, 18989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94928 and 94945. The biggest common factor number is the GCF number.
So the greatest common factor 94928 and 94945 is 17.

Also check out the Least Common Multiple of 94928 and 94945