What is the Greatest Common Factor of 1228 and 1234?

Greatest common factor (GCF) of 1228 and 1234 is 2.

GCF(1228,1234) = 2

We will now calculate the prime factors of 1228 and 1234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1228 and 1234.

How to find the GCF of 1228 and 1234?

We will first find the prime factorization of 1228 and 1234. After we will calculate the factors of 1228 and 1234 and find the biggest common factor number .

Step-1: Prime Factorization of 1228

Prime factors of 1228 are 2, 307. Prime factorization of 1228 in exponential form is:

1228 = 2² × 307¹

Step-2: Prime Factorization of 1234

Prime factors of 1234 are 2, 617. Prime factorization of 1234 in exponential form is:

1234 = 2¹ × 617¹

Step-3: Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1, 2, 4, 307, 614

Step-4: Factors of 1234

List of positive integer factors of 1234 that divides 1228 without a remainder.

1, 2, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1228 and 1234. The biggest common factor number is the GCF number.
So the greatest common factor 1228 and 1234 is 2.

Also check out the Least Common Multiple of 1228 and 1234