What is the Greatest Common Factor of 2261 and 2275?

Greatest common factor (GCF) of 2261 and 2275 is 7.

GCF(2261,2275) = 7

We will now calculate the prime factors of 2261 and 2275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2261 and 2275.

How to find the GCF of 2261 and 2275?

We will first find the prime factorization of 2261 and 2275. After we will calculate the factors of 2261 and 2275 and find the biggest common factor number .

Step-1: Prime Factorization of 2261

Prime factors of 2261 are 7, 17, 19. Prime factorization of 2261 in exponential form is:

2261 = 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 2275

Prime factors of 2275 are 5, 7, 13. Prime factorization of 2275 in exponential form is:

2275 = 5² × 7¹ × 13¹

Step-3: Factors of 2261

List of positive integer factors of 2261 that divides 2261 without a remainder.

1, 7, 17, 19, 119, 133, 323

Step-4: Factors of 2275

List of positive integer factors of 2275 that divides 2261 without a remainder.

1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2261 and 2275. The biggest common factor number is the GCF number.
So the greatest common factor 2261 and 2275 is 7.

Also check out the Least Common Multiple of 2261 and 2275