What is the Greatest Common Factor of 61380 and 61398?

Greatest common factor (GCF) of 61380 and 61398 is 18.

GCF(61380,61398) = 18

We will now calculate the prime factors of 61380 and 61398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61380 and 61398.

How to find the GCF of 61380 and 61398?

We will first find the prime factorization of 61380 and 61398. After we will calculate the factors of 61380 and 61398 and find the biggest common factor number .

Step-1: Prime Factorization of 61380

Prime factors of 61380 are 2, 3, 5, 11, 31. Prime factorization of 61380 in exponential form is:

61380 = 2² × 3² × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 61398

Prime factors of 61398 are 2, 3, 379. Prime factorization of 61398 in exponential form is:

61398 = 2¹ × 3⁴ × 379¹

Step-3: Factors of 61380

List of positive integer factors of 61380 that divides 61380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 31, 33, 36, 44, 45, 55, 60, 62, 66, 90, 93, 99, 110, 124, 132, 155, 165, 180, 186, 198, 220, 279, 310, 330, 341, 372, 396, 465, 495, 558, 620, 660, 682, 930, 990, 1023, 1116, 1364, 1395, 1705, 1860, 1980, 2046, 2790, 3069, 3410, 4092, 5115, 5580, 6138, 6820, 10230, 12276, 15345, 20460, 30690

Step-4: Factors of 61398

List of positive integer factors of 61398 that divides 61380 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 379, 758, 1137, 2274, 3411, 6822, 10233, 20466, 30699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61380 and 61398. The biggest common factor number is the GCF number.
So the greatest common factor 61380 and 61398 is 18.

Also check out the Least Common Multiple of 61380 and 61398