What is the Greatest Common Factor of 2254 and 2263?

Greatest common factor (GCF) of 2254 and 2263 is 1.

GCF(2254,2263) = 1

We will now calculate the prime factors of 2254 and 2263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2254 and 2263.

How to find the GCF of 2254 and 2263?

We will first find the prime factorization of 2254 and 2263. After we will calculate the factors of 2254 and 2263 and find the biggest common factor number .

Step-1: Prime Factorization of 2254

Prime factors of 2254 are 2, 7, 23. Prime factorization of 2254 in exponential form is:

2254 = 2¹ × 7² × 23¹

Step-2: Prime Factorization of 2263

Prime factors of 2263 are 31, 73. Prime factorization of 2263 in exponential form is:

2263 = 31¹ × 73¹

Step-3: Factors of 2254

List of positive integer factors of 2254 that divides 2254 without a remainder.

1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127

Step-4: Factors of 2263

List of positive integer factors of 2263 that divides 2254 without a remainder.

1, 31, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2254 and 2263. The biggest common factor number is the GCF number.
So the greatest common factor 2254 and 2263 is 1.

Also check out the Least Common Multiple of 2254 and 2263