What is the Greatest Common Factor of 76336 and 76349?

Greatest common factor (GCF) of 76336 and 76349 is 13.

GCF(76336,76349) = 13

We will now calculate the prime factors of 76336 and 76349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76336 and 76349.

How to find the GCF of 76336 and 76349?

We will first find the prime factorization of 76336 and 76349. After we will calculate the factors of 76336 and 76349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76349

Prime factors of 76349 are 7, 13, 839. Prime factorization of 76349 in exponential form is:

76349 = 7¹ × 13¹ × 839¹

Step-3: Factors of 76336

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

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

Step-4: Factors of 76349

List of positive integer factors of 76349 that divides 76336 without a remainder.

1, 7, 13, 91, 839, 5873, 10907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76336 and 76349. The biggest common factor number is the GCF number.
So the greatest common factor 76336 and 76349 is 13.

Also check out the Least Common Multiple of 76336 and 76349