What is the Greatest Common Factor of 52600 and 52604?

Greatest common factor (GCF) of 52600 and 52604 is 4.

GCF(52600,52604) = 4

We will now calculate the prime factors of 52600 and 52604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52600 and 52604.

How to find the GCF of 52600 and 52604?

We will first find the prime factorization of 52600 and 52604. After we will calculate the factors of 52600 and 52604 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 52604

Prime factors of 52604 are 2, 13151. Prime factorization of 52604 in exponential form is:

52604 = 2² × 13151¹

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 52604

List of positive integer factors of 52604 that divides 52600 without a remainder.

1, 2, 4, 13151, 26302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52600 and 52604. The biggest common factor number is the GCF number.
So the greatest common factor 52600 and 52604 is 4.

Also check out the Least Common Multiple of 52600 and 52604