What is the Greatest Common Factor of 23731 and 23738?

Greatest common factor (GCF) of 23731 and 23738 is 1.

GCF(23731,23738) = 1

We will now calculate the prime factors of 23731 and 23738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23731 and 23738.

How to find the GCF of 23731 and 23738?

We will first find the prime factorization of 23731 and 23738. After we will calculate the factors of 23731 and 23738 and find the biggest common factor number .

Step-1: Prime Factorization of 23731

Prime factors of 23731 are 19, 1249. Prime factorization of 23731 in exponential form is:

23731 = 19¹ × 1249¹

Step-2: Prime Factorization of 23738

Prime factors of 23738 are 2, 11, 13, 83. Prime factorization of 23738 in exponential form is:

23738 = 2¹ × 11¹ × 13¹ × 83¹

Step-3: Factors of 23731

List of positive integer factors of 23731 that divides 23731 without a remainder.

1, 19, 1249

Step-4: Factors of 23738

List of positive integer factors of 23738 that divides 23731 without a remainder.

1, 2, 11, 13, 22, 26, 83, 143, 166, 286, 913, 1079, 1826, 2158, 11869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23731 and 23738. The biggest common factor number is the GCF number.
So the greatest common factor 23731 and 23738 is 1.

Also check out the Least Common Multiple of 23731 and 23738