What is the Greatest Common Factor of 61776 and 61794?

Greatest common factor (GCF) of 61776 and 61794 is 18.

GCF(61776,61794) = 18

We will now calculate the prime factors of 61776 and 61794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61776 and 61794.

How to find the GCF of 61776 and 61794?

We will first find the prime factorization of 61776 and 61794. After we will calculate the factors of 61776 and 61794 and find the biggest common factor number .

Step-1: Prime Factorization of 61776

Prime factors of 61776 are 2, 3, 11, 13. Prime factorization of 61776 in exponential form is:

61776 = 2⁴ × 3³ × 11¹ × 13¹

Step-2: Prime Factorization of 61794

Prime factors of 61794 are 2, 3, 3433. Prime factorization of 61794 in exponential form is:

61794 = 2¹ × 3² × 3433¹

Step-3: Factors of 61776

List of positive integer factors of 61776 that divides 61776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 18, 22, 24, 26, 27, 33, 36, 39, 44, 48, 52, 54, 66, 72, 78, 88, 99, 104, 108, 117, 132, 143, 144, 156, 176, 198, 208, 216, 234, 264, 286, 297, 312, 351, 396, 429, 432, 468, 528, 572, 594, 624, 702, 792, 858, 936, 1144, 1188, 1287, 1404, 1584, 1716, 1872, 2288, 2376, 2574, 2808, 3432, 3861, 4752, 5148, 5616, 6864, 7722, 10296, 15444, 20592, 30888

Step-4: Factors of 61794

List of positive integer factors of 61794 that divides 61776 without a remainder.

1, 2, 3, 6, 9, 18, 3433, 6866, 10299, 20598, 30897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61776 and 61794. The biggest common factor number is the GCF number.
So the greatest common factor 61776 and 61794 is 18.

Also check out the Least Common Multiple of 61776 and 61794