What is the Greatest Common Factor of 17721 and 17732?

Greatest common factor (GCF) of 17721 and 17732 is 11.

GCF(17721,17732) = 11

We will now calculate the prime factors of 17721 and 17732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17721 and 17732.

How to find the GCF of 17721 and 17732?

We will first find the prime factorization of 17721 and 17732. After we will calculate the factors of 17721 and 17732 and find the biggest common factor number .

Step-1: Prime Factorization of 17721

Prime factors of 17721 are 3, 11, 179. Prime factorization of 17721 in exponential form is:

17721 = 3² × 11¹ × 179¹

Step-2: Prime Factorization of 17732

Prime factors of 17732 are 2, 11, 13, 31. Prime factorization of 17732 in exponential form is:

17732 = 2² × 11¹ × 13¹ × 31¹

Step-3: Factors of 17721

List of positive integer factors of 17721 that divides 17721 without a remainder.

1, 3, 9, 11, 33, 99, 179, 537, 1611, 1969, 5907

Step-4: Factors of 17732

List of positive integer factors of 17732 that divides 17721 without a remainder.

1, 2, 4, 11, 13, 22, 26, 31, 44, 52, 62, 124, 143, 286, 341, 403, 572, 682, 806, 1364, 1612, 4433, 8866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17721 and 17732. The biggest common factor number is the GCF number.
So the greatest common factor 17721 and 17732 is 11.

Also check out the Least Common Multiple of 17721 and 17732