What is the Greatest Common Factor of 22738 and 22742?

Greatest common factor (GCF) of 22738 and 22742 is 2.

GCF(22738,22742) = 2

We will now calculate the prime factors of 22738 and 22742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22738 and 22742.

How to find the GCF of 22738 and 22742?

We will first find the prime factorization of 22738 and 22742. After we will calculate the factors of 22738 and 22742 and find the biggest common factor number .

Step-1: Prime Factorization of 22738

Prime factors of 22738 are 2, 11369. Prime factorization of 22738 in exponential form is:

22738 = 2¹ × 11369¹

Step-2: Prime Factorization of 22742

Prime factors of 22742 are 2, 83, 137. Prime factorization of 22742 in exponential form is:

22742 = 2¹ × 83¹ × 137¹

Step-3: Factors of 22738

List of positive integer factors of 22738 that divides 22738 without a remainder.

1, 2, 11369

Step-4: Factors of 22742

List of positive integer factors of 22742 that divides 22738 without a remainder.

1, 2, 83, 137, 166, 274, 11371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22738 and 22742. The biggest common factor number is the GCF number.
So the greatest common factor 22738 and 22742 is 2.

Also check out the Least Common Multiple of 22738 and 22742