What is the Greatest Common Factor of 10996 and 11008?

Greatest common factor (GCF) of 10996 and 11008 is 4.

GCF(10996,11008) = 4

We will now calculate the prime factors of 10996 and 11008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10996 and 11008.

How to find the GCF of 10996 and 11008?

We will first find the prime factorization of 10996 and 11008. After we will calculate the factors of 10996 and 11008 and find the biggest common factor number .

Step-1: Prime Factorization of 10996

Prime factors of 10996 are 2, 2749. Prime factorization of 10996 in exponential form is:

10996 = 2² × 2749¹

Step-2: Prime Factorization of 11008

Prime factors of 11008 are 2, 43. Prime factorization of 11008 in exponential form is:

11008 = 2⁸ × 43¹

Step-3: Factors of 10996

List of positive integer factors of 10996 that divides 10996 without a remainder.

1, 2, 4, 2749, 5498

Step-4: Factors of 11008

List of positive integer factors of 11008 that divides 10996 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 688, 1376, 2752, 5504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10996 and 11008. The biggest common factor number is the GCF number.
So the greatest common factor 10996 and 11008 is 4.

Also check out the Least Common Multiple of 10996 and 11008