What is the Greatest Common Factor of 94590 and 94610?

Greatest common factor (GCF) of 94590 and 94610 is 10.

GCF(94590,94610) = 10

We will now calculate the prime factors of 94590 and 94610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94590 and 94610.

How to find the GCF of 94590 and 94610?

We will first find the prime factorization of 94590 and 94610. After we will calculate the factors of 94590 and 94610 and find the biggest common factor number .

Step-1: Prime Factorization of 94590

Prime factors of 94590 are 2, 3, 5, 1051. Prime factorization of 94590 in exponential form is:

94590 = 2¹ × 3² × 5¹ × 1051¹

Step-2: Prime Factorization of 94610

Prime factors of 94610 are 2, 5, 9461. Prime factorization of 94610 in exponential form is:

94610 = 2¹ × 5¹ × 9461¹

Step-3: Factors of 94590

List of positive integer factors of 94590 that divides 94590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1051, 2102, 3153, 5255, 6306, 9459, 10510, 15765, 18918, 31530, 47295

Step-4: Factors of 94610

List of positive integer factors of 94610 that divides 94590 without a remainder.

1, 2, 5, 10, 9461, 18922, 47305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94590 and 94610. The biggest common factor number is the GCF number.
So the greatest common factor 94590 and 94610 is 10.

Also check out the Least Common Multiple of 94590 and 94610