What is the Greatest Common Factor of 23715 and 23732?

Greatest common factor (GCF) of 23715 and 23732 is 17.

GCF(23715,23732) = 17

We will now calculate the prime factors of 23715 and 23732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23715 and 23732.

How to find the GCF of 23715 and 23732?

We will first find the prime factorization of 23715 and 23732. After we will calculate the factors of 23715 and 23732 and find the biggest common factor number .

Step-1: Prime Factorization of 23715

Prime factors of 23715 are 3, 5, 17, 31. Prime factorization of 23715 in exponential form is:

23715 = 3² × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 23732

Prime factors of 23732 are 2, 17, 349. Prime factorization of 23732 in exponential form is:

23732 = 2² × 17¹ × 349¹

Step-3: Factors of 23715

List of positive integer factors of 23715 that divides 23715 without a remainder.

1, 3, 5, 9, 15, 17, 31, 45, 51, 85, 93, 153, 155, 255, 279, 465, 527, 765, 1395, 1581, 2635, 4743, 7905

Step-4: Factors of 23732

List of positive integer factors of 23732 that divides 23715 without a remainder.

1, 2, 4, 17, 34, 68, 349, 698, 1396, 5933, 11866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23715 and 23732. The biggest common factor number is the GCF number.
So the greatest common factor 23715 and 23732 is 17.

Also check out the Least Common Multiple of 23715 and 23732