What is the Greatest Common Factor of 2234 and 2242?

Greatest common factor (GCF) of 2234 and 2242 is 2.

GCF(2234,2242) = 2

We will now calculate the prime factors of 2234 and 2242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2234 and 2242.

How to find the GCF of 2234 and 2242?

We will first find the prime factorization of 2234 and 2242. After we will calculate the factors of 2234 and 2242 and find the biggest common factor number .

Step-1: Prime Factorization of 2234

Prime factors of 2234 are 2, 1117. Prime factorization of 2234 in exponential form is:

2234 = 2¹ × 1117¹

Step-2: 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-3: Factors of 2234

List of positive integer factors of 2234 that divides 2234 without a remainder.

1, 2, 1117

Step-4: Factors of 2242

List of positive integer factors of 2242 that divides 2234 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2234 and 2242. The biggest common factor number is the GCF number.
So the greatest common factor 2234 and 2242 is 2.

Also check out the Least Common Multiple of 2234 and 2242