What is the Greatest Common Factor of 10919 and 10938?

Greatest common factor (GCF) of 10919 and 10938 is 1.

GCF(10919,10938) = 1

We will now calculate the prime factors of 10919 and 10938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10919 and 10938.

How to find the GCF of 10919 and 10938?

We will first find the prime factorization of 10919 and 10938. After we will calculate the factors of 10919 and 10938 and find the biggest common factor number .

Step-1: Prime Factorization of 10919

Prime factors of 10919 are 61, 179. Prime factorization of 10919 in exponential form is:

10919 = 61¹ × 179¹

Step-2: Prime Factorization of 10938

Prime factors of 10938 are 2, 3, 1823. Prime factorization of 10938 in exponential form is:

10938 = 2¹ × 3¹ × 1823¹

Step-3: Factors of 10919

List of positive integer factors of 10919 that divides 10919 without a remainder.

1, 61, 179

Step-4: Factors of 10938

List of positive integer factors of 10938 that divides 10919 without a remainder.

1, 2, 3, 6, 1823, 3646, 5469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10919 and 10938. The biggest common factor number is the GCF number.
So the greatest common factor 10919 and 10938 is 1.

Also check out the Least Common Multiple of 10919 and 10938