What is the Greatest Common Factor of 1221 and 1237?

Greatest common factor (GCF) of 1221 and 1237 is 1.

GCF(1221,1237) = 1

We will now calculate the prime factors of 1221 and 1237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1221 and 1237.

How to find the GCF of 1221 and 1237?

We will first find the prime factorization of 1221 and 1237. After we will calculate the factors of 1221 and 1237 and find the biggest common factor number .

Step-1: Prime Factorization of 1221

Prime factors of 1221 are 3, 11, 37. Prime factorization of 1221 in exponential form is:

1221 = 3¹ × 11¹ × 37¹

Step-2: Prime Factorization of 1237

Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:

1237 = 1237¹

Step-3: Factors of 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1, 3, 11, 33, 37, 111, 407

Step-4: Factors of 1237

List of positive integer factors of 1237 that divides 1221 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1221 and 1237. The biggest common factor number is the GCF number.
So the greatest common factor 1221 and 1237 is 1.

Also check out the Least Common Multiple of 1221 and 1237