What is the Greatest Common Factor of 52600 and 52618?

Greatest common factor (GCF) of 52600 and 52618 is 2.

GCF(52600,52618) = 2

We will now calculate the prime factors of 52600 and 52618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52600 and 52618.

How to find the GCF of 52600 and 52618?

We will first find the prime factorization of 52600 and 52618. After we will calculate the factors of 52600 and 52618 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 52618

Prime factors of 52618 are 2, 26309. Prime factorization of 52618 in exponential form is:

52618 = 2¹ × 26309¹

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 52618

List of positive integer factors of 52618 that divides 52600 without a remainder.

1, 2, 26309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52600 and 52618. The biggest common factor number is the GCF number.
So the greatest common factor 52600 and 52618 is 2.

Also check out the Least Common Multiple of 52600 and 52618