What is the Greatest Common Factor of 57822 and 57838?

Greatest common factor (GCF) of 57822 and 57838 is 2.

GCF(57822,57838) = 2

We will now calculate the prime factors of 57822 and 57838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57822 and 57838.

How to find the GCF of 57822 and 57838?

We will first find the prime factorization of 57822 and 57838. After we will calculate the factors of 57822 and 57838 and find the biggest common factor number .

Step-1: Prime Factorization of 57822

Prime factors of 57822 are 2, 3, 23, 419. Prime factorization of 57822 in exponential form is:

57822 = 2¹ × 3¹ × 23¹ × 419¹

Step-2: Prime Factorization of 57838

Prime factors of 57838 are 2, 11, 239. Prime factorization of 57838 in exponential form is:

57838 = 2¹ × 11² × 239¹

Step-3: Factors of 57822

List of positive integer factors of 57822 that divides 57822 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 419, 838, 1257, 2514, 9637, 19274, 28911

Step-4: Factors of 57838

List of positive integer factors of 57838 that divides 57822 without a remainder.

1, 2, 11, 22, 121, 239, 242, 478, 2629, 5258, 28919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57822 and 57838. The biggest common factor number is the GCF number.
So the greatest common factor 57822 and 57838 is 2.

Also check out the Least Common Multiple of 57822 and 57838