What is the Greatest Common Factor of 11200 and 11207?

Greatest common factor (GCF) of 11200 and 11207 is 7.

GCF(11200,11207) = 7

We will now calculate the prime factors of 11200 and 11207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11200 and 11207.

How to find the GCF of 11200 and 11207?

We will first find the prime factorization of 11200 and 11207. After we will calculate the factors of 11200 and 11207 and find the biggest common factor number .

Step-1: Prime Factorization of 11200

Prime factors of 11200 are 2, 5, 7. Prime factorization of 11200 in exponential form is:

11200 = 2⁶ × 5² × 7¹

Step-2: Prime Factorization of 11207

Prime factors of 11207 are 7, 1601. Prime factorization of 11207 in exponential form is:

11207 = 7¹ × 1601¹

Step-3: Factors of 11200

List of positive integer factors of 11200 that divides 11200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 320, 350, 400, 448, 560, 700, 800, 1120, 1400, 1600, 2240, 2800, 5600

Step-4: Factors of 11207

List of positive integer factors of 11207 that divides 11200 without a remainder.

1, 7, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11200 and 11207. The biggest common factor number is the GCF number.
So the greatest common factor 11200 and 11207 is 7.

Also check out the Least Common Multiple of 11200 and 11207