What is the Greatest Common Factor of 11454 and 11472?

Greatest common factor (GCF) of 11454 and 11472 is 6.

GCF(11454,11472) = 6

We will now calculate the prime factors of 11454 and 11472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11454 and 11472.

How to find the GCF of 11454 and 11472?

We will first find the prime factorization of 11454 and 11472. After we will calculate the factors of 11454 and 11472 and find the biggest common factor number .

Step-1: Prime Factorization of 11454

Prime factors of 11454 are 2, 3, 23, 83. Prime factorization of 11454 in exponential form is:

11454 = 2¹ × 3¹ × 23¹ × 83¹

Step-2: Prime Factorization of 11472

Prime factors of 11472 are 2, 3, 239. Prime factorization of 11472 in exponential form is:

11472 = 2⁴ × 3¹ × 239¹

Step-3: Factors of 11454

List of positive integer factors of 11454 that divides 11454 without a remainder.

1, 2, 3, 6, 23, 46, 69, 83, 138, 166, 249, 498, 1909, 3818, 5727

Step-4: Factors of 11472

List of positive integer factors of 11472 that divides 11454 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11454 and 11472. The biggest common factor number is the GCF number.
So the greatest common factor 11454 and 11472 is 6.

Also check out the Least Common Multiple of 11454 and 11472