What is the Greatest Common Factor of 76437 and 76456?

Greatest common factor (GCF) of 76437 and 76456 is 19.

GCF(76437,76456) = 19

We will now calculate the prime factors of 76437 and 76456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76437 and 76456.

How to find the GCF of 76437 and 76456?

We will first find the prime factorization of 76437 and 76456. After we will calculate the factors of 76437 and 76456 and find the biggest common factor number .

Step-1: Prime Factorization of 76437

Prime factors of 76437 are 3, 19, 149. Prime factorization of 76437 in exponential form is:

76437 = 3³ × 19¹ × 149¹

Step-2: Prime Factorization of 76456

Prime factors of 76456 are 2, 19, 503. Prime factorization of 76456 in exponential form is:

76456 = 2³ × 19¹ × 503¹

Step-3: Factors of 76437

List of positive integer factors of 76437 that divides 76437 without a remainder.

1, 3, 9, 19, 27, 57, 149, 171, 447, 513, 1341, 2831, 4023, 8493, 25479

Step-4: Factors of 76456

List of positive integer factors of 76456 that divides 76437 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 503, 1006, 2012, 4024, 9557, 19114, 38228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76437 and 76456. The biggest common factor number is the GCF number.
So the greatest common factor 76437 and 76456 is 19.

Also check out the Least Common Multiple of 76437 and 76456