What is the Greatest Common Factor of 94925 and 94940?

Greatest common factor (GCF) of 94925 and 94940 is 5.

GCF(94925,94940) = 5

We will now calculate the prime factors of 94925 and 94940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94925 and 94940.

How to find the GCF of 94925 and 94940?

We will first find the prime factorization of 94925 and 94940. After we will calculate the factors of 94925 and 94940 and find the biggest common factor number .

Step-1: Prime Factorization of 94925

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

94925 = 5² × 3797¹

Step-2: Prime Factorization of 94940

Prime factors of 94940 are 2, 5, 47, 101. Prime factorization of 94940 in exponential form is:

94940 = 2² × 5¹ × 47¹ × 101¹

Step-3: Factors of 94925

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

1, 5, 25, 3797, 18985

Step-4: Factors of 94940

List of positive integer factors of 94940 that divides 94925 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 101, 188, 202, 235, 404, 470, 505, 940, 1010, 2020, 4747, 9494, 18988, 23735, 47470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94925 and 94940. The biggest common factor number is the GCF number.
So the greatest common factor 94925 and 94940 is 5.

Also check out the Least Common Multiple of 94925 and 94940