What is the Greatest Common Factor of 52874 and 52878?

Greatest common factor (GCF) of 52874 and 52878 is 2.

GCF(52874,52878) = 2

We will now calculate the prime factors of 52874 and 52878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52874 and 52878.

How to find the GCF of 52874 and 52878?

We will first find the prime factorization of 52874 and 52878. After we will calculate the factors of 52874 and 52878 and find the biggest common factor number .

Step-1: Prime Factorization of 52874

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

52874 = 2¹ × 26437¹

Step-2: Prime Factorization of 52878

Prime factors of 52878 are 2, 3, 7, 1259. Prime factorization of 52878 in exponential form is:

52878 = 2¹ × 3¹ × 7¹ × 1259¹

Step-3: Factors of 52874

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

1, 2, 26437

Step-4: Factors of 52878

List of positive integer factors of 52878 that divides 52874 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1259, 2518, 3777, 7554, 8813, 17626, 26439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52874 and 52878. The biggest common factor number is the GCF number.
So the greatest common factor 52874 and 52878 is 2.

Also check out the Least Common Multiple of 52874 and 52878