What is the Greatest Common Factor of 52838 and 52854?

Greatest common factor (GCF) of 52838 and 52854 is 2.

GCF(52838,52854) = 2

We will now calculate the prime factors of 52838 and 52854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52838 and 52854.

How to find the GCF of 52838 and 52854?

We will first find the prime factorization of 52838 and 52854. After we will calculate the factors of 52838 and 52854 and find the biggest common factor number .

Step-1: Prime Factorization of 52838

Prime factors of 52838 are 2, 29, 911. Prime factorization of 52838 in exponential form is:

52838 = 2¹ × 29¹ × 911¹

Step-2: Prime Factorization of 52854

Prime factors of 52854 are 2, 3, 23, 383. Prime factorization of 52854 in exponential form is:

52854 = 2¹ × 3¹ × 23¹ × 383¹

Step-3: Factors of 52838

List of positive integer factors of 52838 that divides 52838 without a remainder.

1, 2, 29, 58, 911, 1822, 26419

Step-4: Factors of 52854

List of positive integer factors of 52854 that divides 52838 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 383, 766, 1149, 2298, 8809, 17618, 26427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52838 and 52854. The biggest common factor number is the GCF number.
So the greatest common factor 52838 and 52854 is 2.

Also check out the Least Common Multiple of 52838 and 52854