What is the Greatest Common Factor of 61056 and 61074?

Greatest common factor (GCF) of 61056 and 61074 is 18.

GCF(61056,61074) = 18

We will now calculate the prime factors of 61056 and 61074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61056 and 61074.

How to find the GCF of 61056 and 61074?

We will first find the prime factorization of 61056 and 61074. After we will calculate the factors of 61056 and 61074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61074

Prime factors of 61074 are 2, 3, 13, 29. Prime factorization of 61074 in exponential form is:

61074 = 2¹ × 3⁴ × 13¹ × 29¹

Step-3: Factors of 61056

List of positive integer factors of 61056 that divides 61056 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

Step-4: Factors of 61074

List of positive integer factors of 61074 that divides 61056 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 29, 39, 54, 58, 78, 81, 87, 117, 162, 174, 234, 261, 351, 377, 522, 702, 754, 783, 1053, 1131, 1566, 2106, 2262, 2349, 3393, 4698, 6786, 10179, 20358, 30537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61056 and 61074. The biggest common factor number is the GCF number.
So the greatest common factor 61056 and 61074 is 18.

Also check out the Least Common Multiple of 61056 and 61074