What is the Greatest Common Factor of 61386 and 61398?

Greatest common factor (GCF) of 61386 and 61398 is 6.

GCF(61386,61398) = 6

We will now calculate the prime factors of 61386 and 61398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61386 and 61398.

How to find the GCF of 61386 and 61398?

We will first find the prime factorization of 61386 and 61398. After we will calculate the factors of 61386 and 61398 and find the biggest common factor number .

Step-1: Prime Factorization of 61386

Prime factors of 61386 are 2, 3, 13, 787. Prime factorization of 61386 in exponential form is:

61386 = 2¹ × 3¹ × 13¹ × 787¹

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 61386

List of positive integer factors of 61386 that divides 61386 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 787, 1574, 2361, 4722, 10231, 20462, 30693

Step-4: Factors of 61398

List of positive integer factors of 61398 that divides 61386 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 61386 and 61398. The biggest common factor number is the GCF number.
So the greatest common factor 61386 and 61398 is 6.

Also check out the Least Common Multiple of 61386 and 61398