What is the Greatest Common Factor of 23738 and 23749?

Greatest common factor (GCF) of 23738 and 23749 is 11.

GCF(23738,23749) = 11

We will now calculate the prime factors of 23738 and 23749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23738 and 23749.

How to find the GCF of 23738 and 23749?

We will first find the prime factorization of 23738 and 23749. After we will calculate the factors of 23738 and 23749 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 23749

Prime factors of 23749 are 11, 17, 127. Prime factorization of 23749 in exponential form is:

23749 = 11¹ × 17¹ × 127¹

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 23749

List of positive integer factors of 23749 that divides 23738 without a remainder.

1, 11, 17, 127, 187, 1397, 2159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23738 and 23749. The biggest common factor number is the GCF number.
So the greatest common factor 23738 and 23749 is 11.

Also check out the Least Common Multiple of 23738 and 23749