What is the Greatest Common Factor of 94475 and 94490?

Greatest common factor (GCF) of 94475 and 94490 is 5.

GCF(94475,94490) = 5

We will now calculate the prime factors of 94475 and 94490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94475 and 94490.

How to find the GCF of 94475 and 94490?

We will first find the prime factorization of 94475 and 94490. After we will calculate the factors of 94475 and 94490 and find the biggest common factor number .

Step-1: Prime Factorization of 94475

Prime factors of 94475 are 5, 3779. Prime factorization of 94475 in exponential form is:

94475 = 5² × 3779¹

Step-2: Prime Factorization of 94490

Prime factors of 94490 are 2, 5, 11, 859. Prime factorization of 94490 in exponential form is:

94490 = 2¹ × 5¹ × 11¹ × 859¹

Step-3: Factors of 94475

List of positive integer factors of 94475 that divides 94475 without a remainder.

1, 5, 25, 3779, 18895

Step-4: Factors of 94490

List of positive integer factors of 94490 that divides 94475 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 859, 1718, 4295, 8590, 9449, 18898, 47245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94475 and 94490. The biggest common factor number is the GCF number.
So the greatest common factor 94475 and 94490 is 5.

Also check out the Least Common Multiple of 94475 and 94490