What is the Greatest Common Factor of 76452 and 76464?

Greatest common factor (GCF) of 76452 and 76464 is 12.

GCF(76452,76464) = 12

We will now calculate the prime factors of 76452 and 76464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76452 and 76464.

How to find the GCF of 76452 and 76464?

We will first find the prime factorization of 76452 and 76464. After we will calculate the factors of 76452 and 76464 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 76464

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

76464 = 2⁴ × 3⁴ × 59¹

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 76464

List of positive integer factors of 76464 that divides 76452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76452 and 76464. The biggest common factor number is the GCF number.
So the greatest common factor 76452 and 76464 is 12.

Also check out the Least Common Multiple of 76452 and 76464