What is the Greatest Common Factor of 68484 and 68497?

Greatest common factor (GCF) of 68484 and 68497 is 13.

GCF(68484,68497) = 13

We will now calculate the prime factors of 68484 and 68497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68484 and 68497.

How to find the GCF of 68484 and 68497?

We will first find the prime factorization of 68484 and 68497. After we will calculate the factors of 68484 and 68497 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 68497

Prime factors of 68497 are 11, 13, 479. Prime factorization of 68497 in exponential form is:

68497 = 11¹ × 13¹ × 479¹

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 68497

List of positive integer factors of 68497 that divides 68484 without a remainder.

1, 11, 13, 143, 479, 5269, 6227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68484 and 68497. The biggest common factor number is the GCF number.
So the greatest common factor 68484 and 68497 is 13.

Also check out the Least Common Multiple of 68484 and 68497