What is the Greatest Common Factor of 23772 and 23786?

Greatest common factor (GCF) of 23772 and 23786 is 14.

GCF(23772,23786) = 14

We will now calculate the prime factors of 23772 and 23786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23772 and 23786.

How to find the GCF of 23772 and 23786?

We will first find the prime factorization of 23772 and 23786. After we will calculate the factors of 23772 and 23786 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23786

Prime factors of 23786 are 2, 7, 1699. Prime factorization of 23786 in exponential form is:

23786 = 2¹ × 7¹ × 1699¹

Step-3: Factors of 23772

List of positive integer factors of 23772 that divides 23772 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

Step-4: Factors of 23786

List of positive integer factors of 23786 that divides 23772 without a remainder.

1, 2, 7, 14, 1699, 3398, 11893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23772 and 23786. The biggest common factor number is the GCF number.
So the greatest common factor 23772 and 23786 is 14.

Also check out the Least Common Multiple of 23772 and 23786