What is the Greatest Common Factor of 61710 and 61728?

Greatest common factor (GCF) of 61710 and 61728 is 6.

GCF(61710,61728) = 6

We will now calculate the prime factors of 61710 and 61728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61710 and 61728.

How to find the GCF of 61710 and 61728?

We will first find the prime factorization of 61710 and 61728. After we will calculate the factors of 61710 and 61728 and find the biggest common factor number .

Step-1: Prime Factorization of 61710

Prime factors of 61710 are 2, 3, 5, 11, 17. Prime factorization of 61710 in exponential form is:

61710 = 2¹ × 3¹ × 5¹ × 11² × 17¹

Step-2: Prime Factorization of 61728

Prime factors of 61728 are 2, 3, 643. Prime factorization of 61728 in exponential form is:

61728 = 2⁵ × 3¹ × 643¹

Step-3: Factors of 61710

List of positive integer factors of 61710 that divides 61710 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 121, 165, 170, 187, 242, 255, 330, 363, 374, 510, 561, 605, 726, 935, 1122, 1210, 1815, 1870, 2057, 2805, 3630, 4114, 5610, 6171, 10285, 12342, 20570, 30855

Step-4: Factors of 61728

List of positive integer factors of 61728 that divides 61710 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 643, 1286, 1929, 2572, 3858, 5144, 7716, 10288, 15432, 20576, 30864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61710 and 61728. The biggest common factor number is the GCF number.
So the greatest common factor 61710 and 61728 is 6.

Also check out the Least Common Multiple of 61710 and 61728