What is the Greatest Common Factor of 94456 and 94472?

Greatest common factor (GCF) of 94456 and 94472 is 8.

GCF(94456,94472) = 8

We will now calculate the prime factors of 94456 and 94472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94456 and 94472.

How to find the GCF of 94456 and 94472?

We will first find the prime factorization of 94456 and 94472. After we will calculate the factors of 94456 and 94472 and find the biggest common factor number .

Step-1: Prime Factorization of 94456

Prime factors of 94456 are 2, 11807. Prime factorization of 94456 in exponential form is:

94456 = 2³ × 11807¹

Step-2: Prime Factorization of 94472

Prime factors of 94472 are 2, 7, 241. Prime factorization of 94472 in exponential form is:

94472 = 2³ × 7² × 241¹

Step-3: Factors of 94456

List of positive integer factors of 94456 that divides 94456 without a remainder.

1, 2, 4, 8, 11807, 23614, 47228

Step-4: Factors of 94472

List of positive integer factors of 94472 that divides 94456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 241, 392, 482, 964, 1687, 1928, 3374, 6748, 11809, 13496, 23618, 47236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94456 and 94472. The biggest common factor number is the GCF number.
So the greatest common factor 94456 and 94472 is 8.

Also check out the Least Common Multiple of 94456 and 94472