What is the Greatest Common Factor of 76452 and 76456?

Greatest common factor (GCF) of 76452 and 76456 is 4.

GCF(76452,76456) = 4

We will now calculate the prime factors of 76452 and 76456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76452 and 76456.

How to find the GCF of 76452 and 76456?

We will first find the prime factorization of 76452 and 76456. After we will calculate the factors of 76452 and 76456 and find the biggest common factor number .

Step-1: Prime Factorization of 76452

Prime factors of 76452 are 2, 3, 23, 277. Prime factorization of 76452 in exponential form is:

76452 = 2² × 3¹ × 23¹ × 277¹

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 76452

List of positive integer factors of 76452 that divides 76452 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 277, 554, 831, 1108, 1662, 3324, 6371, 12742, 19113, 25484, 38226

Step-4: Factors of 76456

List of positive integer factors of 76456 that divides 76452 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 76452 and 76456. The biggest common factor number is the GCF number.
So the greatest common factor 76452 and 76456 is 4.

Also check out the Least Common Multiple of 76452 and 76456