What is the Greatest Common Factor of 68471 and 68484?

Greatest common factor (GCF) of 68471 and 68484 is 13.

GCF(68471,68484) = 13

We will now calculate the prime factors of 68471 and 68484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68471 and 68484.

How to find the GCF of 68471 and 68484?

We will first find the prime factorization of 68471 and 68484. After we will calculate the factors of 68471 and 68484 and find the biggest common factor number .

Step-1: Prime Factorization of 68471

Prime factors of 68471 are 13, 23, 229. Prime factorization of 68471 in exponential form is:

68471 = 13¹ × 23¹ × 229¹

Step-2: 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-3: Factors of 68471

List of positive integer factors of 68471 that divides 68471 without a remainder.

1, 13, 23, 229, 299, 2977, 5267

Step-4: Factors of 68484

List of positive integer factors of 68484 that divides 68471 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68471 and 68484. The biggest common factor number is the GCF number.
So the greatest common factor 68471 and 68484 is 13.

Also check out the Least Common Multiple of 68471 and 68484