What is the Greatest Common Factor of 76319 and 76336?

Greatest common factor (GCF) of 76319 and 76336 is 1.

GCF(76319,76336) = 1

We will now calculate the prime factors of 76319 and 76336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76319 and 76336.

How to find the GCF of 76319 and 76336?

We will first find the prime factorization of 76319 and 76336. After we will calculate the factors of 76319 and 76336 and find the biggest common factor number .

Step-1: Prime Factorization of 76319

Prime factors of 76319 are 167, 457. Prime factorization of 76319 in exponential form is:

76319 = 167¹ × 457¹

Step-2: Prime Factorization of 76336

Prime factors of 76336 are 2, 13, 367. Prime factorization of 76336 in exponential form is:

76336 = 2⁴ × 13¹ × 367¹

Step-3: Factors of 76319

List of positive integer factors of 76319 that divides 76319 without a remainder.

1, 167, 457

Step-4: Factors of 76336

List of positive integer factors of 76336 that divides 76319 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 367, 734, 1468, 2936, 4771, 5872, 9542, 19084, 38168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76319 and 76336. The biggest common factor number is the GCF number.
So the greatest common factor 76319 and 76336 is 1.

Also check out the Least Common Multiple of 76319 and 76336