What is the Greatest Common Factor of 94965 and 94978?

Greatest common factor (GCF) of 94965 and 94978 is 13.

GCF(94965,94978) = 13

We will now calculate the prime factors of 94965 and 94978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94965 and 94978.

How to find the GCF of 94965 and 94978?

We will first find the prime factorization of 94965 and 94978. After we will calculate the factors of 94965 and 94978 and find the biggest common factor number .

Step-1: Prime Factorization of 94965

Prime factors of 94965 are 3, 5, 13, 487. Prime factorization of 94965 in exponential form is:

94965 = 3¹ × 5¹ × 13¹ × 487¹

Step-2: Prime Factorization of 94978

Prime factors of 94978 are 2, 13, 281. Prime factorization of 94978 in exponential form is:

94978 = 2¹ × 13² × 281¹

Step-3: Factors of 94965

List of positive integer factors of 94965 that divides 94965 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 487, 1461, 2435, 6331, 7305, 18993, 31655

Step-4: Factors of 94978

List of positive integer factors of 94978 that divides 94965 without a remainder.

1, 2, 13, 26, 169, 281, 338, 562, 3653, 7306, 47489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94965 and 94978. The biggest common factor number is the GCF number.
So the greatest common factor 94965 and 94978 is 13.

Also check out the Least Common Multiple of 94965 and 94978