What is the Greatest Common Factor of 11648 and 11666?

Greatest common factor (GCF) of 11648 and 11666 is 2.

GCF(11648,11666) = 2

We will now calculate the prime factors of 11648 and 11666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11648 and 11666.

How to find the GCF of 11648 and 11666?

We will first find the prime factorization of 11648 and 11666. After we will calculate the factors of 11648 and 11666 and find the biggest common factor number .

Step-1: Prime Factorization of 11648

Prime factors of 11648 are 2, 7, 13. Prime factorization of 11648 in exponential form is:

11648 = 2⁷ × 7¹ × 13¹

Step-2: Prime Factorization of 11666

Prime factors of 11666 are 2, 19, 307. Prime factorization of 11666 in exponential form is:

11666 = 2¹ × 19¹ × 307¹

Step-3: Factors of 11648

List of positive integer factors of 11648 that divides 11648 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 128, 182, 208, 224, 364, 416, 448, 728, 832, 896, 1456, 1664, 2912, 5824

Step-4: Factors of 11666

List of positive integer factors of 11666 that divides 11648 without a remainder.

1, 2, 19, 38, 307, 614, 5833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11648 and 11666. The biggest common factor number is the GCF number.
So the greatest common factor 11648 and 11666 is 2.

Also check out the Least Common Multiple of 11648 and 11666