What is the Greatest Common Factor of 11256 and 11274?

Greatest common factor (GCF) of 11256 and 11274 is 6.

GCF(11256,11274) = 6

We will now calculate the prime factors of 11256 and 11274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11256 and 11274.

How to find the GCF of 11256 and 11274?

We will first find the prime factorization of 11256 and 11274. After we will calculate the factors of 11256 and 11274 and find the biggest common factor number .

Step-1: Prime Factorization of 11256

Prime factors of 11256 are 2, 3, 7, 67. Prime factorization of 11256 in exponential form is:

11256 = 2³ × 3¹ × 7¹ × 67¹

Step-2: Prime Factorization of 11274

Prime factors of 11274 are 2, 3, 1879. Prime factorization of 11274 in exponential form is:

11274 = 2¹ × 3¹ × 1879¹

Step-3: Factors of 11256

List of positive integer factors of 11256 that divides 11256 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 67, 84, 134, 168, 201, 268, 402, 469, 536, 804, 938, 1407, 1608, 1876, 2814, 3752, 5628

Step-4: Factors of 11274

List of positive integer factors of 11274 that divides 11256 without a remainder.

1, 2, 3, 6, 1879, 3758, 5637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11256 and 11274. The biggest common factor number is the GCF number.
So the greatest common factor 11256 and 11274 is 6.

Also check out the Least Common Multiple of 11256 and 11274