What is the Greatest Common Factor of 94265 and 94282?

Greatest common factor (GCF) of 94265 and 94282 is 17.

GCF(94265,94282) = 17

We will now calculate the prime factors of 94265 and 94282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94265 and 94282.

How to find the GCF of 94265 and 94282?

We will first find the prime factorization of 94265 and 94282. After we will calculate the factors of 94265 and 94282 and find the biggest common factor number .

Step-1: Prime Factorization of 94265

Prime factors of 94265 are 5, 17, 1109. Prime factorization of 94265 in exponential form is:

94265 = 5¹ × 17¹ × 1109¹

Step-2: Prime Factorization of 94282

Prime factors of 94282 are 2, 17, 47, 59. Prime factorization of 94282 in exponential form is:

94282 = 2¹ × 17¹ × 47¹ × 59¹

Step-3: Factors of 94265

List of positive integer factors of 94265 that divides 94265 without a remainder.

1, 5, 17, 85, 1109, 5545, 18853

Step-4: Factors of 94282

List of positive integer factors of 94282 that divides 94265 without a remainder.

1, 2, 17, 34, 47, 59, 94, 118, 799, 1003, 1598, 2006, 2773, 5546, 47141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94265 and 94282. The biggest common factor number is the GCF number.
So the greatest common factor 94265 and 94282 is 17.

Also check out the Least Common Multiple of 94265 and 94282