What is the Greatest Common Factor of 68484 and 68496?

Greatest common factor (GCF) of 68484 and 68496 is 12.

GCF(68484,68496) = 12

We will now calculate the prime factors of 68484 and 68496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68484 and 68496.

How to find the GCF of 68484 and 68496?

We will first find the prime factorization of 68484 and 68496. After we will calculate the factors of 68484 and 68496 and find the biggest common factor number .

Step-1: Prime Factorization of 68484

Prime factors of 68484 are 2, 3, 13, 439. Prime factorization of 68484 in exponential form is:

68484 = 2² × 3¹ × 13¹ × 439¹

Step-2: Prime Factorization of 68496

Prime factors of 68496 are 2, 3, 1427. Prime factorization of 68496 in exponential form is:

68496 = 2⁴ × 3¹ × 1427¹

Step-3: Factors of 68484

List of positive integer factors of 68484 that divides 68484 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 439, 878, 1317, 1756, 2634, 5268, 5707, 11414, 17121, 22828, 34242

Step-4: Factors of 68496

List of positive integer factors of 68496 that divides 68484 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1427, 2854, 4281, 5708, 8562, 11416, 17124, 22832, 34248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68484 and 68496. The biggest common factor number is the GCF number.
So the greatest common factor 68484 and 68496 is 12.

Also check out the Least Common Multiple of 68484 and 68496