What is the Greatest Common Factor of 2242 and 2261?

Greatest common factor (GCF) of 2242 and 2261 is 19.

GCF(2242,2261) = 19

We will now calculate the prime factors of 2242 and 2261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2242 and 2261.

How to find the GCF of 2242 and 2261?

We will first find the prime factorization of 2242 and 2261. After we will calculate the factors of 2242 and 2261 and find the biggest common factor number .

Step-1: Prime Factorization of 2242

Prime factors of 2242 are 2, 19, 59. Prime factorization of 2242 in exponential form is:

2242 = 2¹ × 19¹ × 59¹

Step-2: 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-3: Factors of 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1, 2, 19, 38, 59, 118, 1121

Step-4: Factors of 2261

List of positive integer factors of 2261 that divides 2242 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2242 and 2261. The biggest common factor number is the GCF number.
So the greatest common factor 2242 and 2261 is 19.

Also check out the Least Common Multiple of 2242 and 2261