What is the Greatest Common Factor of 61044 and 61056?

Greatest common factor (GCF) of 61044 and 61056 is 12.

GCF(61044,61056) = 12

We will now calculate the prime factors of 61044 and 61056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61044 and 61056.

How to find the GCF of 61044 and 61056?

We will first find the prime factorization of 61044 and 61056. After we will calculate the factors of 61044 and 61056 and find the biggest common factor number .

Step-1: Prime Factorization of 61044

Prime factors of 61044 are 2, 3, 5087. Prime factorization of 61044 in exponential form is:

61044 = 2² × 3¹ × 5087¹

Step-2: Prime Factorization of 61056

Prime factors of 61056 are 2, 3, 53. Prime factorization of 61056 in exponential form is:

61056 = 2⁷ × 3² × 53¹

Step-3: Factors of 61044

List of positive integer factors of 61044 that divides 61044 without a remainder.

1, 2, 3, 4, 6, 12, 5087, 10174, 15261, 20348, 30522

Step-4: Factors of 61056

List of positive integer factors of 61056 that divides 61044 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 64, 72, 96, 106, 128, 144, 159, 192, 212, 288, 318, 384, 424, 477, 576, 636, 848, 954, 1152, 1272, 1696, 1908, 2544, 3392, 3816, 5088, 6784, 7632, 10176, 15264, 20352, 30528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61044 and 61056. The biggest common factor number is the GCF number.
So the greatest common factor 61044 and 61056 is 12.

Also check out the Least Common Multiple of 61044 and 61056