What is the Greatest Common Factor of 61727 and 61744?

Greatest common factor (GCF) of 61727 and 61744 is 17.

GCF(61727,61744) = 17

We will now calculate the prime factors of 61727 and 61744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61727 and 61744.

How to find the GCF of 61727 and 61744?

We will first find the prime factorization of 61727 and 61744. After we will calculate the factors of 61727 and 61744 and find the biggest common factor number .

Step-1: Prime Factorization of 61727

Prime factors of 61727 are 17, 3631. Prime factorization of 61727 in exponential form is:

61727 = 17¹ × 3631¹

Step-2: Prime Factorization of 61744

Prime factors of 61744 are 2, 17, 227. Prime factorization of 61744 in exponential form is:

61744 = 2⁴ × 17¹ × 227¹

Step-3: Factors of 61727

List of positive integer factors of 61727 that divides 61727 without a remainder.

1, 17, 3631

Step-4: Factors of 61744

List of positive integer factors of 61744 that divides 61727 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 227, 272, 454, 908, 1816, 3632, 3859, 7718, 15436, 30872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61727 and 61744. The biggest common factor number is the GCF number.
So the greatest common factor 61727 and 61744 is 17.

Also check out the Least Common Multiple of 61727 and 61744