What is the Greatest Common Factor of 5200 and 5211?

Greatest common factor (GCF) of 5200 and 5211 is 1.

GCF(5200,5211) = 1

We will now calculate the prime factors of 5200 and 5211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5200 and 5211.

How to find the GCF of 5200 and 5211?

We will first find the prime factorization of 5200 and 5211. After we will calculate the factors of 5200 and 5211 and find the biggest common factor number .

Step-1: Prime Factorization of 5200

Prime factors of 5200 are 2, 5, 13. Prime factorization of 5200 in exponential form is:

5200 = 2⁴ × 5² × 13¹

Step-2: Prime Factorization of 5211

Prime factors of 5211 are 3, 193. Prime factorization of 5211 in exponential form is:

5211 = 3³ × 193¹

Step-3: Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600

Step-4: Factors of 5211

List of positive integer factors of 5211 that divides 5200 without a remainder.

1, 3, 9, 27, 193, 579, 1737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5200 and 5211. The biggest common factor number is the GCF number.
So the greatest common factor 5200 and 5211 is 1.

Also check out the Least Common Multiple of 5200 and 5211