What is the Greatest Common Factor of 9200 and 9211?

Greatest common factor (GCF) of 9200 and 9211 is 1.

GCF(9200,9211) = 1

We will now calculate the prime factors of 9200 and 9211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9200 and 9211.

How to find the GCF of 9200 and 9211?

We will first find the prime factorization of 9200 and 9211. After we will calculate the factors of 9200 and 9211 and find the biggest common factor number .

Step-1: Prime Factorization of 9200

Prime factors of 9200 are 2, 5, 23. Prime factorization of 9200 in exponential form is:

9200 = 2⁴ × 5² × 23¹

Step-2: Prime Factorization of 9211

Prime factors of 9211 are 61, 151. Prime factorization of 9211 in exponential form is:

9211 = 61¹ × 151¹

Step-3: Factors of 9200

List of positive integer factors of 9200 that divides 9200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600

Step-4: Factors of 9211

List of positive integer factors of 9211 that divides 9200 without a remainder.

1, 61, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9200 and 9211. The biggest common factor number is the GCF number.
So the greatest common factor 9200 and 9211 is 1.

Also check out the Least Common Multiple of 9200 and 9211