What is the Greatest Common Factor of 80352 and 80372?

Greatest common factor (GCF) of 80352 and 80372 is 4.

GCF(80352,80372) = 4

We will now calculate the prime factors of 80352 and 80372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80352 and 80372.

How to find the GCF of 80352 and 80372?

We will first find the prime factorization of 80352 and 80372. After we will calculate the factors of 80352 and 80372 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 80372

Prime factors of 80372 are 2, 71, 283. Prime factorization of 80372 in exponential form is:

80372 = 2² × 71¹ × 283¹

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 80372

List of positive integer factors of 80372 that divides 80352 without a remainder.

1, 2, 4, 71, 142, 283, 284, 566, 1132, 20093, 40186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80352 and 80372. The biggest common factor number is the GCF number.
So the greatest common factor 80352 and 80372 is 4.

Also check out the Least Common Multiple of 80352 and 80372