What is the Greatest Common Factor of 80352 and 80364?

Greatest common factor (GCF) of 80352 and 80364 is 12.

GCF(80352,80364) = 12

We will now calculate the prime factors of 80352 and 80364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80352 and 80364.

How to find the GCF of 80352 and 80364?

We will first find the prime factorization of 80352 and 80364. After we will calculate the factors of 80352 and 80364 and find the biggest common factor number .

Step-1: Prime Factorization of 80352

Prime factors of 80352 are 2, 3, 31. Prime factorization of 80352 in exponential form is:

80352 = 2⁵ × 3⁴ × 31¹

Step-2: Prime Factorization of 80364

Prime factors of 80364 are 2, 3, 37, 181. Prime factorization of 80364 in exponential form is:

80364 = 2² × 3¹ × 37¹ × 181¹

Step-3: Factors of 80352

List of positive integer factors of 80352 that divides 80352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48, 54, 62, 72, 81, 93, 96, 108, 124, 144, 162, 186, 216, 248, 279, 288, 324, 372, 432, 496, 558, 648, 744, 837, 864, 992, 1116, 1296, 1488, 1674, 2232, 2511, 2592, 2976, 3348, 4464, 5022, 6696, 8928, 10044, 13392, 20088, 26784, 40176

Step-4: Factors of 80364

List of positive integer factors of 80364 that divides 80352 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 181, 222, 362, 444, 543, 724, 1086, 2172, 6697, 13394, 20091, 26788, 40182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80352 and 80364. The biggest common factor number is the GCF number.
So the greatest common factor 80352 and 80364 is 12.

Also check out the Least Common Multiple of 80352 and 80364