What is the Greatest Common Factor of 1248 and 1254?

Greatest common factor (GCF) of 1248 and 1254 is 6.

GCF(1248,1254) = 6

We will now calculate the prime factors of 1248 and 1254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1248 and 1254.

How to find the GCF of 1248 and 1254?

We will first find the prime factorization of 1248 and 1254. After we will calculate the factors of 1248 and 1254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1254

Prime factors of 1254 are 2, 3, 11, 19. Prime factorization of 1254 in exponential form is:

1254 = 2¹ × 3¹ × 11¹ × 19¹

Step-3: Factors of 1248

List of positive integer factors of 1248 that divides 1248 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

Step-4: Factors of 1254

List of positive integer factors of 1254 that divides 1248 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1248 and 1254. The biggest common factor number is the GCF number.
So the greatest common factor 1248 and 1254 is 6.

Also check out the Least Common Multiple of 1248 and 1254