What is the Greatest Common Factor of 23761 and 23772?

Greatest common factor (GCF) of 23761 and 23772 is 1.

GCF(23761,23772) = 1

We will now calculate the prime factors of 23761 and 23772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23761 and 23772.

How to find the GCF of 23761 and 23772?

We will first find the prime factorization of 23761 and 23772. After we will calculate the factors of 23761 and 23772 and find the biggest common factor number .

Step-1: Prime Factorization of 23761

Prime factors of 23761 are 23761. Prime factorization of 23761 in exponential form is:

23761 = 23761¹

Step-2: Prime Factorization of 23772

Prime factors of 23772 are 2, 3, 7, 283. Prime factorization of 23772 in exponential form is:

23772 = 2² × 3¹ × 7¹ × 283¹

Step-3: Factors of 23761

List of positive integer factors of 23761 that divides 23761 without a remainder.

Step-4: Factors of 23772

List of positive integer factors of 23772 that divides 23761 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 283, 566, 849, 1132, 1698, 1981, 3396, 3962, 5943, 7924, 11886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23761 and 23772. The biggest common factor number is the GCF number.
So the greatest common factor 23761 and 23772 is 1.

Also check out the Least Common Multiple of 23761 and 23772