What is the Greatest Common Factor of 80340 and 80352?

Greatest common factor (GCF) of 80340 and 80352 is 12.

GCF(80340,80352) = 12

We will now calculate the prime factors of 80340 and 80352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80340 and 80352.

How to find the GCF of 80340 and 80352?

We will first find the prime factorization of 80340 and 80352. After we will calculate the factors of 80340 and 80352 and find the biggest common factor number .

Step-1: Prime Factorization of 80340

Prime factors of 80340 are 2, 3, 5, 13, 103. Prime factorization of 80340 in exponential form is:

80340 = 2² × 3¹ × 5¹ × 13¹ × 103¹

Step-2: 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-3: Factors of 80340

List of positive integer factors of 80340 that divides 80340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 103, 130, 156, 195, 206, 260, 309, 390, 412, 515, 618, 780, 1030, 1236, 1339, 1545, 2060, 2678, 3090, 4017, 5356, 6180, 6695, 8034, 13390, 16068, 20085, 26780, 40170

Step-4: Factors of 80352

List of positive integer factors of 80352 that divides 80340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80340 and 80352. The biggest common factor number is the GCF number.
So the greatest common factor 80340 and 80352 is 12.

Also check out the Least Common Multiple of 80340 and 80352