What is the Greatest Common Factor of 61384 and 61404?

Greatest common factor (GCF) of 61384 and 61404 is 4.

GCF(61384,61404) = 4

We will now calculate the prime factors of 61384 and 61404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61384 and 61404.

How to find the GCF of 61384 and 61404?

We will first find the prime factorization of 61384 and 61404. After we will calculate the factors of 61384 and 61404 and find the biggest common factor number .

Step-1: Prime Factorization of 61384

Prime factors of 61384 are 2, 7673. Prime factorization of 61384 in exponential form is:

61384 = 2³ × 7673¹

Step-2: 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-3: Factors of 61384

List of positive integer factors of 61384 that divides 61384 without a remainder.

1, 2, 4, 8, 7673, 15346, 30692

Step-4: Factors of 61404

List of positive integer factors of 61404 that divides 61384 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61384 and 61404. The biggest common factor number is the GCF number.
So the greatest common factor 61384 and 61404 is 4.

Also check out the Least Common Multiple of 61384 and 61404