What is the Greatest Common Factor of 94280 and 94285?

Greatest common factor (GCF) of 94280 and 94285 is 5.

GCF(94280,94285) = 5

We will now calculate the prime factors of 94280 and 94285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94280 and 94285.

How to find the GCF of 94280 and 94285?

We will first find the prime factorization of 94280 and 94285. After we will calculate the factors of 94280 and 94285 and find the biggest common factor number .

Step-1: Prime Factorization of 94280

Prime factors of 94280 are 2, 5, 2357. Prime factorization of 94280 in exponential form is:

94280 = 2³ × 5¹ × 2357¹

Step-2: Prime Factorization of 94285

Prime factors of 94285 are 5, 109, 173. Prime factorization of 94285 in exponential form is:

94285 = 5¹ × 109¹ × 173¹

Step-3: Factors of 94280

List of positive integer factors of 94280 that divides 94280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2357, 4714, 9428, 11785, 18856, 23570, 47140

Step-4: Factors of 94285

List of positive integer factors of 94285 that divides 94280 without a remainder.

1, 5, 109, 173, 545, 865, 18857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94280 and 94285. The biggest common factor number is the GCF number.
So the greatest common factor 94280 and 94285 is 5.

Also check out the Least Common Multiple of 94280 and 94285