What is the Greatest Common Factor of 1216 and 1234?

Greatest common factor (GCF) of 1216 and 1234 is 2.

GCF(1216,1234) = 2

We will now calculate the prime factors of 1216 and 1234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1216 and 1234.

How to find the GCF of 1216 and 1234?

We will first find the prime factorization of 1216 and 1234. After we will calculate the factors of 1216 and 1234 and find the biggest common factor number .

Step-1: Prime Factorization of 1216

Prime factors of 1216 are 2, 19. Prime factorization of 1216 in exponential form is:

1216 = 2⁶ × 19¹

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 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608

Step-4: Factors of 1234

List of positive integer factors of 1234 that divides 1216 without a remainder.

1, 2, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1216 and 1234. The biggest common factor number is the GCF number.
So the greatest common factor 1216 and 1234 is 2.

Also check out the Least Common Multiple of 1216 and 1234