What is the Greatest Common Factor of 94910 and 94925?

Greatest common factor (GCF) of 94910 and 94925 is 5.

GCF(94910,94925) = 5

We will now calculate the prime factors of 94910 and 94925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94910 and 94925.

How to find the GCF of 94910 and 94925?

We will first find the prime factorization of 94910 and 94925. After we will calculate the factors of 94910 and 94925 and find the biggest common factor number .

Step-1: Prime Factorization of 94910

Prime factors of 94910 are 2, 5, 9491. Prime factorization of 94910 in exponential form is:

94910 = 2¹ × 5¹ × 9491¹

Step-2: Prime Factorization of 94925

Prime factors of 94925 are 5, 3797. Prime factorization of 94925 in exponential form is:

94925 = 5² × 3797¹

Step-3: Factors of 94910

List of positive integer factors of 94910 that divides 94910 without a remainder.

1, 2, 5, 10, 9491, 18982, 47455

Step-4: Factors of 94925

List of positive integer factors of 94925 that divides 94910 without a remainder.

1, 5, 25, 3797, 18985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94910 and 94925. The biggest common factor number is the GCF number.
So the greatest common factor 94910 and 94925 is 5.

Also check out the Least Common Multiple of 94910 and 94925