What is the Greatest Common Factor of 11738 and 11748?

Greatest common factor (GCF) of 11738 and 11748 is 2.

GCF(11738,11748) = 2

We will now calculate the prime factors of 11738 and 11748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11738 and 11748.

How to find the GCF of 11738 and 11748?

We will first find the prime factorization of 11738 and 11748. After we will calculate the factors of 11738 and 11748 and find the biggest common factor number .

Step-1: Prime Factorization of 11738

Prime factors of 11738 are 2, 5869. Prime factorization of 11738 in exponential form is:

11738 = 2¹ × 5869¹

Step-2: Prime Factorization of 11748

Prime factors of 11748 are 2, 3, 11, 89. Prime factorization of 11748 in exponential form is:

11748 = 2² × 3¹ × 11¹ × 89¹

Step-3: Factors of 11738

List of positive integer factors of 11738 that divides 11738 without a remainder.

1, 2, 5869

Step-4: Factors of 11748

List of positive integer factors of 11748 that divides 11738 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 89, 132, 178, 267, 356, 534, 979, 1068, 1958, 2937, 3916, 5874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11738 and 11748. The biggest common factor number is the GCF number.
So the greatest common factor 11738 and 11748 is 2.

Also check out the Least Common Multiple of 11738 and 11748