What is the Greatest Common Factor of 76456 and 76468?

Greatest common factor (GCF) of 76456 and 76468 is 4.

GCF(76456,76468) = 4

We will now calculate the prime factors of 76456 and 76468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76456 and 76468.

How to find the GCF of 76456 and 76468?

We will first find the prime factorization of 76456 and 76468. After we will calculate the factors of 76456 and 76468 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 76468

Prime factors of 76468 are 2, 7, 2731. Prime factorization of 76468 in exponential form is:

76468 = 2² × 7¹ × 2731¹

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 76468

List of positive integer factors of 76468 that divides 76456 without a remainder.

1, 2, 4, 7, 14, 28, 2731, 5462, 10924, 19117, 38234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76456 and 76468. The biggest common factor number is the GCF number.
So the greatest common factor 76456 and 76468 is 4.

Also check out the Least Common Multiple of 76456 and 76468