What is the Greatest Common Factor of 76414 and 76428?

Greatest common factor (GCF) of 76414 and 76428 is 2.

GCF(76414,76428) = 2

We will now calculate the prime factors of 76414 and 76428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76414 and 76428.

How to find the GCF of 76414 and 76428?

We will first find the prime factorization of 76414 and 76428. After we will calculate the factors of 76414 and 76428 and find the biggest common factor number .

Step-1: Prime Factorization of 76414

Prime factors of 76414 are 2, 13, 2939. Prime factorization of 76414 in exponential form is:

76414 = 2¹ × 13¹ × 2939¹

Step-2: Prime Factorization of 76428

Prime factors of 76428 are 2, 3, 11, 193. Prime factorization of 76428 in exponential form is:

76428 = 2² × 3² × 11¹ × 193¹

Step-3: Factors of 76414

List of positive integer factors of 76414 that divides 76414 without a remainder.

1, 2, 13, 26, 2939, 5878, 38207

Step-4: Factors of 76428

List of positive integer factors of 76428 that divides 76414 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 193, 198, 386, 396, 579, 772, 1158, 1737, 2123, 2316, 3474, 4246, 6369, 6948, 8492, 12738, 19107, 25476, 38214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76414 and 76428. The biggest common factor number is the GCF number.
So the greatest common factor 76414 and 76428 is 2.

Also check out the Least Common Multiple of 76414 and 76428