What is the Greatest Common Factor of 23738 and 23748?

Greatest common factor (GCF) of 23738 and 23748 is 2.

GCF(23738,23748) = 2

We will now calculate the prime factors of 23738 and 23748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23738 and 23748.

How to find the GCF of 23738 and 23748?

We will first find the prime factorization of 23738 and 23748. After we will calculate the factors of 23738 and 23748 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 23748

Prime factors of 23748 are 2, 3, 1979. Prime factorization of 23748 in exponential form is:

23748 = 2² × 3¹ × 1979¹

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 23748

List of positive integer factors of 23748 that divides 23738 without a remainder.

1, 2, 3, 4, 6, 12, 1979, 3958, 5937, 7916, 11874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23738 and 23748. The biggest common factor number is the GCF number.
So the greatest common factor 23738 and 23748 is 2.

Also check out the Least Common Multiple of 23738 and 23748