What is the Greatest Common Factor of 76484 and 76496?

Greatest common factor (GCF) of 76484 and 76496 is 4.

GCF(76484,76496) = 4

We will now calculate the prime factors of 76484 and 76496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76484 and 76496.

How to find the GCF of 76484 and 76496?

We will first find the prime factorization of 76484 and 76496. After we will calculate the factors of 76484 and 76496 and find the biggest common factor number .

Step-1: Prime Factorization of 76484

Prime factors of 76484 are 2, 19121. Prime factorization of 76484 in exponential form is:

76484 = 2² × 19121¹

Step-2: Prime Factorization of 76496

Prime factors of 76496 are 2, 7, 683. Prime factorization of 76496 in exponential form is:

76496 = 2⁴ × 7¹ × 683¹

Step-3: Factors of 76484

List of positive integer factors of 76484 that divides 76484 without a remainder.

1, 2, 4, 19121, 38242

Step-4: Factors of 76496

List of positive integer factors of 76496 that divides 76484 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 683, 1366, 2732, 4781, 5464, 9562, 10928, 19124, 38248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76484 and 76496. The biggest common factor number is the GCF number.
So the greatest common factor 76484 and 76496 is 4.

Also check out the Least Common Multiple of 76484 and 76496