What is the Greatest Common Factor of 61776 and 61795?

Greatest common factor (GCF) of 61776 and 61795 is 1.

GCF(61776,61795) = 1

We will now calculate the prime factors of 61776 and 61795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61776 and 61795.

How to find the GCF of 61776 and 61795?

We will first find the prime factorization of 61776 and 61795. After we will calculate the factors of 61776 and 61795 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 61795

Prime factors of 61795 are 5, 17, 727. Prime factorization of 61795 in exponential form is:

61795 = 5¹ × 17¹ × 727¹

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 61795

List of positive integer factors of 61795 that divides 61776 without a remainder.

1, 5, 17, 85, 727, 3635, 12359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61776 and 61795. The biggest common factor number is the GCF number.
So the greatest common factor 61776 and 61795 is 1.

Also check out the Least Common Multiple of 61776 and 61795