What is the Greatest Common Factor of 94144 and 94152?

Greatest common factor (GCF) of 94144 and 94152 is 8.

GCF(94144,94152) = 8

We will now calculate the prime factors of 94144 and 94152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94144 and 94152.

How to find the GCF of 94144 and 94152?

We will first find the prime factorization of 94144 and 94152. After we will calculate the factors of 94144 and 94152 and find the biggest common factor number .

Step-1: Prime Factorization of 94144

Prime factors of 94144 are 2, 1471. Prime factorization of 94144 in exponential form is:

94144 = 2⁶ × 1471¹

Step-2: Prime Factorization of 94152

Prime factors of 94152 are 2, 3, 3923. Prime factorization of 94152 in exponential form is:

94152 = 2³ × 3¹ × 3923¹

Step-3: Factors of 94144

List of positive integer factors of 94144 that divides 94144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1471, 2942, 5884, 11768, 23536, 47072

Step-4: Factors of 94152

List of positive integer factors of 94152 that divides 94144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3923, 7846, 11769, 15692, 23538, 31384, 47076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94144 and 94152. The biggest common factor number is the GCF number.
So the greatest common factor 94144 and 94152 is 8.

Also check out the Least Common Multiple of 94144 and 94152