What is the Greatest Common Factor of 52600 and 52609?

Greatest common factor (GCF) of 52600 and 52609 is 1.

GCF(52600,52609) = 1

We will now calculate the prime factors of 52600 and 52609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52600 and 52609.

How to find the GCF of 52600 and 52609?

We will first find the prime factorization of 52600 and 52609. After we will calculate the factors of 52600 and 52609 and find the biggest common factor number .

Step-1: Prime Factorization of 52600

Prime factors of 52600 are 2, 5, 263. Prime factorization of 52600 in exponential form is:

52600 = 2³ × 5² × 263¹

Step-2: Prime Factorization of 52609

Prime factors of 52609 are 52609. Prime factorization of 52609 in exponential form is:

52609 = 52609¹

Step-3: Factors of 52600

List of positive integer factors of 52600 that divides 52600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 263, 526, 1052, 1315, 2104, 2630, 5260, 6575, 10520, 13150, 26300

Step-4: Factors of 52609

List of positive integer factors of 52609 that divides 52600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52600 and 52609. The biggest common factor number is the GCF number.
So the greatest common factor 52600 and 52609 is 1.

Also check out the Least Common Multiple of 52600 and 52609