What is the Greatest Common Factor of 76144 and 76161?

Greatest common factor (GCF) of 76144 and 76161 is 1.

GCF(76144,76161) = 1

We will now calculate the prime factors of 76144 and 76161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76144 and 76161.

How to find the GCF of 76144 and 76161?

We will first find the prime factorization of 76144 and 76161. After we will calculate the factors of 76144 and 76161 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 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 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 76161

List of positive integer factors of 76161 that divides 76144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76144 and 76161. The biggest common factor number is the GCF number.
So the greatest common factor 76144 and 76161 is 1.

Also check out the Least Common Multiple of 76144 and 76161