What is the Greatest Common Factor of 68484 and 68490?

Greatest common factor (GCF) of 68484 and 68490 is 6.

GCF(68484,68490) = 6

We will now calculate the prime factors of 68484 and 68490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68484 and 68490.

How to find the GCF of 68484 and 68490?

We will first find the prime factorization of 68484 and 68490. After we will calculate the factors of 68484 and 68490 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 68490

Prime factors of 68490 are 2, 3, 5, 761. Prime factorization of 68490 in exponential form is:

68490 = 2¹ × 3² × 5¹ × 761¹

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 68490

List of positive integer factors of 68490 that divides 68484 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 761, 1522, 2283, 3805, 4566, 6849, 7610, 11415, 13698, 22830, 34245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68484 and 68490. The biggest common factor number is the GCF number.
So the greatest common factor 68484 and 68490 is 6.

Also check out the Least Common Multiple of 68484 and 68490