What is the Greatest Common Factor of 80484 and 80496?

Greatest common factor (GCF) of 80484 and 80496 is 12.

GCF(80484,80496) = 12

We will now calculate the prime factors of 80484 and 80496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80484 and 80496.

How to find the GCF of 80484 and 80496?

We will first find the prime factorization of 80484 and 80496. After we will calculate the factors of 80484 and 80496 and find the biggest common factor number .

Step-1: Prime Factorization of 80484

Prime factors of 80484 are 2, 3, 19, 353. Prime factorization of 80484 in exponential form is:

80484 = 2² × 3¹ × 19¹ × 353¹

Step-2: Prime Factorization of 80496

Prime factors of 80496 are 2, 3, 13, 43. Prime factorization of 80496 in exponential form is:

80496 = 2⁴ × 3² × 13¹ × 43¹

Step-3: Factors of 80484

List of positive integer factors of 80484 that divides 80484 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 353, 706, 1059, 1412, 2118, 4236, 6707, 13414, 20121, 26828, 40242

Step-4: Factors of 80496

List of positive integer factors of 80496 that divides 80484 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 43, 48, 52, 72, 78, 86, 104, 117, 129, 144, 156, 172, 208, 234, 258, 312, 344, 387, 468, 516, 559, 624, 688, 774, 936, 1032, 1118, 1548, 1677, 1872, 2064, 2236, 3096, 3354, 4472, 5031, 6192, 6708, 8944, 10062, 13416, 20124, 26832, 40248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80484 and 80496. The biggest common factor number is the GCF number.
So the greatest common factor 80484 and 80496 is 12.

Also check out the Least Common Multiple of 80484 and 80496