What is the Greatest Common Factor of 76412 and 76426?

Greatest common factor (GCF) of 76412 and 76426 is 14.

GCF(76412,76426) = 14

We will now calculate the prime factors of 76412 and 76426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76412 and 76426.

How to find the GCF of 76412 and 76426?

We will first find the prime factorization of 76412 and 76426. After we will calculate the factors of 76412 and 76426 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76426

Prime factors of 76426 are 2, 7, 53, 103. Prime factorization of 76426 in exponential form is:

76426 = 2¹ × 7¹ × 53¹ × 103¹

Step-3: Factors of 76412

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

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

Step-4: Factors of 76426

List of positive integer factors of 76426 that divides 76412 without a remainder.

1, 2, 7, 14, 53, 103, 106, 206, 371, 721, 742, 1442, 5459, 10918, 38213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76412 and 76426. The biggest common factor number is the GCF number.
So the greatest common factor 76412 and 76426 is 14.

Also check out the Least Common Multiple of 76412 and 76426