What is the Greatest Common Factor of 76144 and 76152?

Greatest common factor (GCF) of 76144 and 76152 is 8.

GCF(76144,76152) = 8

We will now calculate the prime factors of 76144 and 76152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76144 and 76152.

How to find the GCF of 76144 and 76152?

We will first find the prime factorization of 76144 and 76152. After we will calculate the factors of 76144 and 76152 and find the biggest common factor number .

Step-1: Prime Factorization of 76144

Prime factors of 76144 are 2, 4759. Prime factorization of 76144 in exponential form is:

76144 = 2⁴ × 4759¹

Step-2: Prime Factorization of 76152

Prime factors of 76152 are 2, 3, 19, 167. Prime factorization of 76152 in exponential form is:

76152 = 2³ × 3¹ × 19¹ × 167¹

Step-3: Factors of 76144

List of positive integer factors of 76144 that divides 76144 without a remainder.

1, 2, 4, 8, 16, 4759, 9518, 19036, 38072

Step-4: Factors of 76152

List of positive integer factors of 76152 that divides 76144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 167, 228, 334, 456, 501, 668, 1002, 1336, 2004, 3173, 4008, 6346, 9519, 12692, 19038, 25384, 38076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76144 and 76152. The biggest common factor number is the GCF number.
So the greatest common factor 76144 and 76152 is 8.

Also check out the Least Common Multiple of 76144 and 76152