What is the Greatest Common Factor of 52840 and 52848?

Greatest common factor (GCF) of 52840 and 52848 is 8.

GCF(52840,52848) = 8

We will now calculate the prime factors of 52840 and 52848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52840 and 52848.

How to find the GCF of 52840 and 52848?

We will first find the prime factorization of 52840 and 52848. After we will calculate the factors of 52840 and 52848 and find the biggest common factor number .

Step-1: Prime Factorization of 52840

Prime factors of 52840 are 2, 5, 1321. Prime factorization of 52840 in exponential form is:

52840 = 2³ × 5¹ × 1321¹

Step-2: Prime Factorization of 52848

Prime factors of 52848 are 2, 3, 367. Prime factorization of 52848 in exponential form is:

52848 = 2⁴ × 3² × 367¹

Step-3: Factors of 52840

List of positive integer factors of 52840 that divides 52840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1321, 2642, 5284, 6605, 10568, 13210, 26420

Step-4: Factors of 52848

List of positive integer factors of 52848 that divides 52840 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 5872, 6606, 8808, 13212, 17616, 26424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52840 and 52848. The biggest common factor number is the GCF number.
So the greatest common factor 52840 and 52848 is 8.

Also check out the Least Common Multiple of 52840 and 52848