What is the Greatest Common Factor of 25200 and 25211?

Greatest common factor (GCF) of 25200 and 25211 is 1.

GCF(25200,25211) = 1

We will now calculate the prime factors of 25200 and 25211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25200 and 25211.

How to find the GCF of 25200 and 25211?

We will first find the prime factorization of 25200 and 25211. After we will calculate the factors of 25200 and 25211 and find the biggest common factor number .

Step-1: Prime Factorization of 25200

Prime factors of 25200 are 2, 3, 5, 7. Prime factorization of 25200 in exponential form is:

25200 = 2⁴ × 3² × 5² × 7¹

Step-2: Prime Factorization of 25211

Prime factors of 25211 are 17, 1483. Prime factorization of 25211 in exponential form is:

25211 = 17¹ × 1483¹

Step-3: Factors of 25200

List of positive integer factors of 25200 that divides 25200 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 35, 36, 40, 42, 45, 48, 50, 56, 60, 63, 70, 72, 75, 80, 84, 90, 100, 105, 112, 120, 126, 140, 144, 150, 168, 175, 180, 200, 210, 225, 240, 252, 280, 300, 315, 336, 350, 360, 400, 420, 450, 504, 525, 560, 600, 630, 700, 720, 840, 900, 1008, 1050, 1200, 1260, 1400, 1575, 1680, 1800, 2100, 2520, 2800, 3150, 3600, 4200, 5040, 6300, 8400, 12600

Step-4: Factors of 25211

List of positive integer factors of 25211 that divides 25200 without a remainder.

1, 17, 1483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25200 and 25211. The biggest common factor number is the GCF number.
So the greatest common factor 25200 and 25211 is 1.

Also check out the Least Common Multiple of 25200 and 25211