What is the Greatest Common Factor of 61404 and 61418?

Greatest common factor (GCF) of 61404 and 61418 is 14.

GCF(61404,61418) = 14

We will now calculate the prime factors of 61404 and 61418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61404 and 61418.

How to find the GCF of 61404 and 61418?

We will first find the prime factorization of 61404 and 61418. After we will calculate the factors of 61404 and 61418 and find the biggest common factor number .

Step-1: Prime Factorization of 61404

Prime factors of 61404 are 2, 3, 7, 17, 43. Prime factorization of 61404 in exponential form is:

61404 = 2² × 3¹ × 7¹ × 17¹ × 43¹

Step-2: Prime Factorization of 61418

Prime factors of 61418 are 2, 7, 41, 107. Prime factorization of 61418 in exponential form is:

61418 = 2¹ × 7¹ × 41¹ × 107¹

Step-3: Factors of 61404

List of positive integer factors of 61404 that divides 61404 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 43, 51, 68, 84, 86, 102, 119, 129, 172, 204, 238, 258, 301, 357, 476, 516, 602, 714, 731, 903, 1204, 1428, 1462, 1806, 2193, 2924, 3612, 4386, 5117, 8772, 10234, 15351, 20468, 30702

Step-4: Factors of 61418

List of positive integer factors of 61418 that divides 61404 without a remainder.

1, 2, 7, 14, 41, 82, 107, 214, 287, 574, 749, 1498, 4387, 8774, 30709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61404 and 61418. The biggest common factor number is the GCF number.
So the greatest common factor 61404 and 61418 is 14.

Also check out the Least Common Multiple of 61404 and 61418