What is the Greatest Common Factor of 80352 and 80366?

Greatest common factor (GCF) of 80352 and 80366 is 2.

GCF(80352,80366) = 2

We will now calculate the prime factors of 80352 and 80366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80352 and 80366.

How to find the GCF of 80352 and 80366?

We will first find the prime factorization of 80352 and 80366. After we will calculate the factors of 80352 and 80366 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 80366

Prime factors of 80366 are 2, 11, 13, 281. Prime factorization of 80366 in exponential form is:

80366 = 2¹ × 11¹ × 13¹ × 281¹

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 80366

List of positive integer factors of 80366 that divides 80352 without a remainder.

1, 2, 11, 13, 22, 26, 143, 281, 286, 562, 3091, 3653, 6182, 7306, 40183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80352 and 80366. The biggest common factor number is the GCF number.
So the greatest common factor 80352 and 80366 is 2.

Also check out the Least Common Multiple of 80352 and 80366