What is the Greatest Common Factor of 68484 and 68492?

Greatest common factor (GCF) of 68484 and 68492 is 4.

GCF(68484,68492) = 4

We will now calculate the prime factors of 68484 and 68492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68484 and 68492.

How to find the GCF of 68484 and 68492?

We will first find the prime factorization of 68484 and 68492. After we will calculate the factors of 68484 and 68492 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 68492

Prime factors of 68492 are 2, 17123. Prime factorization of 68492 in exponential form is:

68492 = 2² × 17123¹

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 68492

List of positive integer factors of 68492 that divides 68484 without a remainder.

1, 2, 4, 17123, 34246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68484 and 68492. The biggest common factor number is the GCF number.
So the greatest common factor 68484 and 68492 is 4.

Also check out the Least Common Multiple of 68484 and 68492