What is the Greatest Common Factor of 76456 and 76472?

Greatest common factor (GCF) of 76456 and 76472 is 8.

GCF(76456,76472) = 8

We will now calculate the prime factors of 76456 and 76472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76456 and 76472.

How to find the GCF of 76456 and 76472?

We will first find the prime factorization of 76456 and 76472. After we will calculate the factors of 76456 and 76472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76472

Prime factors of 76472 are 2, 11, 79. Prime factorization of 76472 in exponential form is:

76472 = 2³ × 11² × 79¹

Step-3: Factors of 76456

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

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

Step-4: Factors of 76472

List of positive integer factors of 76472 that divides 76456 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 121, 158, 242, 316, 484, 632, 869, 968, 1738, 3476, 6952, 9559, 19118, 38236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76456 and 76472. The biggest common factor number is the GCF number.
So the greatest common factor 76456 and 76472 is 8.

Also check out the Least Common Multiple of 76456 and 76472