What is the Greatest Common Factor of 61404 and 61424?

Greatest common factor (GCF) of 61404 and 61424 is 4.

GCF(61404,61424) = 4

We will now calculate the prime factors of 61404 and 61424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61404 and 61424.

How to find the GCF of 61404 and 61424?

We will first find the prime factorization of 61404 and 61424. After we will calculate the factors of 61404 and 61424 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 61424

Prime factors of 61424 are 2, 11, 349. Prime factorization of 61424 in exponential form is:

61424 = 2⁴ × 11¹ × 349¹

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 61424

List of positive integer factors of 61424 that divides 61404 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 349, 698, 1396, 2792, 3839, 5584, 7678, 15356, 30712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61404 and 61424. The biggest common factor number is the GCF number.
So the greatest common factor 61404 and 61424 is 4.

Also check out the Least Common Multiple of 61404 and 61424