What is the Greatest Common Factor of 76152 and 76161?

Greatest common factor (GCF) of 76152 and 76161 is 3.

GCF(76152,76161) = 3

We will now calculate the prime factors of 76152 and 76161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76152 and 76161.

How to find the GCF of 76152 and 76161?

We will first find the prime factorization of 76152 and 76161. After we will calculate the factors of 76152 and 76161 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76161

Prime factors of 76161 are 3, 53, 479. Prime factorization of 76161 in exponential form is:

76161 = 3¹ × 53¹ × 479¹

Step-3: Factors of 76152

List of positive integer factors of 76152 that divides 76152 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

Step-4: Factors of 76161

List of positive integer factors of 76161 that divides 76152 without a remainder.

1, 3, 53, 159, 479, 1437, 25387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76152 and 76161. The biggest common factor number is the GCF number.
So the greatest common factor 76152 and 76161 is 3.

Also check out the Least Common Multiple of 76152 and 76161