What is the Greatest Common Factor of 52825 and 52840?

Greatest common factor (GCF) of 52825 and 52840 is 5.

GCF(52825,52840) = 5

We will now calculate the prime factors of 52825 and 52840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52825 and 52840.

How to find the GCF of 52825 and 52840?

We will first find the prime factorization of 52825 and 52840. After we will calculate the factors of 52825 and 52840 and find the biggest common factor number .

Step-1: Prime Factorization of 52825

Prime factors of 52825 are 5, 2113. Prime factorization of 52825 in exponential form is:

52825 = 5² × 2113¹

Step-2: 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-3: Factors of 52825

List of positive integer factors of 52825 that divides 52825 without a remainder.

1, 5, 25, 2113, 10565

Step-4: Factors of 52840

List of positive integer factors of 52840 that divides 52825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52825 and 52840. The biggest common factor number is the GCF number.
So the greatest common factor 52825 and 52840 is 5.

Also check out the Least Common Multiple of 52825 and 52840