What is the Greatest Common Factor of 11738 and 11742?

Greatest common factor (GCF) of 11738 and 11742 is 2.

GCF(11738,11742) = 2

We will now calculate the prime factors of 11738 and 11742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11738 and 11742.

How to find the GCF of 11738 and 11742?

We will first find the prime factorization of 11738 and 11742. After we will calculate the factors of 11738 and 11742 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 11742

Prime factors of 11742 are 2, 3, 19, 103. Prime factorization of 11742 in exponential form is:

11742 = 2¹ × 3¹ × 19¹ × 103¹

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 11742

List of positive integer factors of 11742 that divides 11738 without a remainder.

1, 2, 3, 6, 19, 38, 57, 103, 114, 206, 309, 618, 1957, 3914, 5871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11738 and 11742. The biggest common factor number is the GCF number.
So the greatest common factor 11738 and 11742 is 2.

Also check out the Least Common Multiple of 11738 and 11742