What is the Greatest Common Factor of 1214 and 1226?

Greatest common factor (GCF) of 1214 and 1226 is 2.

GCF(1214,1226) = 2

We will now calculate the prime factors of 1214 and 1226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1214 and 1226.

How to find the GCF of 1214 and 1226?

We will first find the prime factorization of 1214 and 1226. After we will calculate the factors of 1214 and 1226 and find the biggest common factor number .

Step-1: Prime Factorization of 1214

Prime factors of 1214 are 2, 607. Prime factorization of 1214 in exponential form is:

1214 = 2¹ × 607¹

Step-2: Prime Factorization of 1226

Prime factors of 1226 are 2, 613. Prime factorization of 1226 in exponential form is:

1226 = 2¹ × 613¹

Step-3: Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1, 2, 607

Step-4: Factors of 1226

List of positive integer factors of 1226 that divides 1214 without a remainder.

1, 2, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1214 and 1226. The biggest common factor number is the GCF number.
So the greatest common factor 1214 and 1226 is 2.

Also check out the Least Common Multiple of 1214 and 1226