What is the Greatest Common Factor of 11454 and 11464?

Greatest common factor (GCF) of 11454 and 11464 is 2.

GCF(11454,11464) = 2

We will now calculate the prime factors of 11454 and 11464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11454 and 11464.

How to find the GCF of 11454 and 11464?

We will first find the prime factorization of 11454 and 11464. After we will calculate the factors of 11454 and 11464 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 11464

Prime factors of 11464 are 2, 1433. Prime factorization of 11464 in exponential form is:

11464 = 2³ × 1433¹

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 11464

List of positive integer factors of 11464 that divides 11454 without a remainder.

1, 2, 4, 8, 1433, 2866, 5732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11454 and 11464. The biggest common factor number is the GCF number.
So the greatest common factor 11454 and 11464 is 2.

Also check out the Least Common Multiple of 11454 and 11464