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What is the Greatest Common Factor of 61710 and 61721?

Greatest common factor (GCF) of 61710 and 61721 is 11.

GCF(61710,61721) = 11

We will now calculate the prime factors of 61710 and 61721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61710 and 61721.

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How to find the GCF of 61710 and 61721?

We will first find the prime factorization of 61710 and 61721. After we will calculate the factors of 61710 and 61721 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 61721

Prime factors of 61721 are 11, 31, 181. Prime factorization of 61721 in exponential form is:

61721 = 111 × 311 × 1811

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 61721

List of positive integer factors of 61721 that divides 61710 without a remainder.

1, 11, 31, 181, 341, 1991, 5611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61710 and 61721. The biggest common factor number is the GCF number.
So the greatest common factor 61710 and 61721 is 11.

Also check out the Least Common Multiple of 61710 and 61721