What is the Greatest Common Factor of 76464 and 76484?

Greatest common factor (GCF) of 76464 and 76484 is 4.

GCF(76464,76484) = 4

We will now calculate the prime factors of 76464 and 76484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76464 and 76484.

How to find the GCF of 76464 and 76484?

We will first find the prime factorization of 76464 and 76484. After we will calculate the factors of 76464 and 76484 and find the biggest common factor number .

Step-1: Prime Factorization of 76464

Prime factors of 76464 are 2, 3, 59. Prime factorization of 76464 in exponential form is:

76464 = 2⁴ × 3⁴ × 59¹

Step-2: Prime Factorization of 76484

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

76484 = 2² × 19121¹

Step-3: Factors of 76464

List of positive integer factors of 76464 that divides 76464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 81, 108, 118, 144, 162, 177, 216, 236, 324, 354, 432, 472, 531, 648, 708, 944, 1062, 1296, 1416, 1593, 2124, 2832, 3186, 4248, 4779, 6372, 8496, 9558, 12744, 19116, 25488, 38232

Step-4: Factors of 76484

List of positive integer factors of 76484 that divides 76464 without a remainder.

1, 2, 4, 19121, 38242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76464 and 76484. The biggest common factor number is the GCF number.
So the greatest common factor 76464 and 76484 is 4.

Also check out the Least Common Multiple of 76464 and 76484