What is the Greatest Common Factor of 76398 and 76412?

Greatest common factor (GCF) of 76398 and 76412 is 14.

GCF(76398,76412) = 14

We will now calculate the prime factors of 76398 and 76412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76398 and 76412.

How to find the GCF of 76398 and 76412?

We will first find the prime factorization of 76398 and 76412. After we will calculate the factors of 76398 and 76412 and find the biggest common factor number .

Step-1: Prime Factorization of 76398

Prime factors of 76398 are 2, 3, 7, 17, 107. Prime factorization of 76398 in exponential form is:

76398 = 2¹ × 3¹ × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 76412

Prime factors of 76412 are 2, 7, 2729. Prime factorization of 76412 in exponential form is:

76412 = 2² × 7¹ × 2729¹

Step-3: Factors of 76398

List of positive integer factors of 76398 that divides 76398 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 107, 119, 214, 238, 321, 357, 642, 714, 749, 1498, 1819, 2247, 3638, 4494, 5457, 10914, 12733, 25466, 38199

Step-4: Factors of 76412

List of positive integer factors of 76412 that divides 76398 without a remainder.

1, 2, 4, 7, 14, 28, 2729, 5458, 10916, 19103, 38206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76398 and 76412. The biggest common factor number is the GCF number.
So the greatest common factor 76398 and 76412 is 14.

Also check out the Least Common Multiple of 76398 and 76412