What is the Greatest Common Factor of 61721 and 61732?

Greatest common factor (GCF) of 61721 and 61732 is 11.

GCF(61721,61732) = 11

We will now calculate the prime factors of 61721 and 61732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61721 and 61732.

How to find the GCF of 61721 and 61732?

We will first find the prime factorization of 61721 and 61732. After we will calculate the factors of 61721 and 61732 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61732

Prime factors of 61732 are 2, 11, 23, 61. Prime factorization of 61732 in exponential form is:

61732 = 2² × 11¹ × 23¹ × 61¹

Step-3: Factors of 61721

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

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

Step-4: Factors of 61732

List of positive integer factors of 61732 that divides 61721 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 61, 92, 122, 244, 253, 506, 671, 1012, 1342, 1403, 2684, 2806, 5612, 15433, 30866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61721 and 61732. The biggest common factor number is the GCF number.
So the greatest common factor 61721 and 61732 is 11.

Also check out the Least Common Multiple of 61721 and 61732