What is the Greatest Common Factor of 52854 and 52874?

Greatest common factor (GCF) of 52854 and 52874 is 2.

GCF(52854,52874) = 2

We will now calculate the prime factors of 52854 and 52874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52854 and 52874.

How to find the GCF of 52854 and 52874?

We will first find the prime factorization of 52854 and 52874. After we will calculate the factors of 52854 and 52874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52874

Prime factors of 52874 are 2, 26437. Prime factorization of 52874 in exponential form is:

52874 = 2¹ × 26437¹

Step-3: Factors of 52854

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

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

Step-4: Factors of 52874

List of positive integer factors of 52874 that divides 52854 without a remainder.

1, 2, 26437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52854 and 52874. The biggest common factor number is the GCF number.
So the greatest common factor 52854 and 52874 is 2.

Also check out the Least Common Multiple of 52854 and 52874