What is the Greatest Common Factor of 1228 and 1248?

Greatest common factor (GCF) of 1228 and 1248 is 4.

GCF(1228,1248) = 4

We will now calculate the prime factors of 1228 and 1248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1228 and 1248.

How to find the GCF of 1228 and 1248?

We will first find the prime factorization of 1228 and 1248. After we will calculate the factors of 1228 and 1248 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 1248

Prime factors of 1248 are 2, 3, 13. Prime factorization of 1248 in exponential form is:

1248 = 2⁵ × 3¹ × 13¹

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 1248

List of positive integer factors of 1248 that divides 1228 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1228 and 1248. The biggest common factor number is the GCF number.
So the greatest common factor 1228 and 1248 is 4.

Also check out the Least Common Multiple of 1228 and 1248