What is the Greatest Common Factor of 80992 and 81008?

Greatest common factor (GCF) of 80992 and 81008 is 16.

GCF(80992,81008) = 16

We will now calculate the prime factors of 80992 and 81008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80992 and 81008.

How to find the GCF of 80992 and 81008?

We will first find the prime factorization of 80992 and 81008. After we will calculate the factors of 80992 and 81008 and find the biggest common factor number .

Step-1: Prime Factorization of 80992

Prime factors of 80992 are 2, 2531. Prime factorization of 80992 in exponential form is:

80992 = 2⁵ × 2531¹

Step-2: Prime Factorization of 81008

Prime factors of 81008 are 2, 61, 83. Prime factorization of 81008 in exponential form is:

81008 = 2⁴ × 61¹ × 83¹

Step-3: Factors of 80992

List of positive integer factors of 80992 that divides 80992 without a remainder.

1, 2, 4, 8, 16, 32, 2531, 5062, 10124, 20248, 40496

Step-4: Factors of 81008

List of positive integer factors of 81008 that divides 80992 without a remainder.

1, 2, 4, 8, 16, 61, 83, 122, 166, 244, 332, 488, 664, 976, 1328, 5063, 10126, 20252, 40504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80992 and 81008. The biggest common factor number is the GCF number.
So the greatest common factor 80992 and 81008 is 16.

Also check out the Least Common Multiple of 80992 and 81008