What is the Greatest Common Factor of 23738 and 23756?

Greatest common factor (GCF) of 23738 and 23756 is 2.

GCF(23738,23756) = 2

We will now calculate the prime factors of 23738 and 23756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23738 and 23756.

How to find the GCF of 23738 and 23756?

We will first find the prime factorization of 23738 and 23756. After we will calculate the factors of 23738 and 23756 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23756

Prime factors of 23756 are 2, 5939. Prime factorization of 23756 in exponential form is:

23756 = 2² × 5939¹

Step-3: Factors of 23738

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

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

Step-4: Factors of 23756

List of positive integer factors of 23756 that divides 23738 without a remainder.

1, 2, 4, 5939, 11878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23738 and 23756. The biggest common factor number is the GCF number.
So the greatest common factor 23738 and 23756 is 2.

Also check out the Least Common Multiple of 23738 and 23756