What is the Greatest Common Factor of 17922 and 17938?

Greatest common factor (GCF) of 17922 and 17938 is 2.

GCF(17922,17938) = 2

We will now calculate the prime factors of 17922 and 17938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17922 and 17938.

How to find the GCF of 17922 and 17938?

We will first find the prime factorization of 17922 and 17938. After we will calculate the factors of 17922 and 17938 and find the biggest common factor number .

Step-1: Prime Factorization of 17922

Prime factors of 17922 are 2, 3, 29, 103. Prime factorization of 17922 in exponential form is:

17922 = 2¹ × 3¹ × 29¹ × 103¹

Step-2: Prime Factorization of 17938

Prime factors of 17938 are 2, 8969. Prime factorization of 17938 in exponential form is:

17938 = 2¹ × 8969¹

Step-3: Factors of 17922

List of positive integer factors of 17922 that divides 17922 without a remainder.

1, 2, 3, 6, 29, 58, 87, 103, 174, 206, 309, 618, 2987, 5974, 8961

Step-4: Factors of 17938

List of positive integer factors of 17938 that divides 17922 without a remainder.

1, 2, 8969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17922 and 17938. The biggest common factor number is the GCF number.
So the greatest common factor 17922 and 17938 is 2.

Also check out the Least Common Multiple of 17922 and 17938