What is the Greatest Common Factor of 80993 and 81004?

Greatest common factor (GCF) of 80993 and 81004 is 11.

GCF(80993,81004) = 11

We will now calculate the prime factors of 80993 and 81004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80993 and 81004.

How to find the GCF of 80993 and 81004?

We will first find the prime factorization of 80993 and 81004. After we will calculate the factors of 80993 and 81004 and find the biggest common factor number .

Step-1: Prime Factorization of 80993

Prime factors of 80993 are 11, 37, 199. Prime factorization of 80993 in exponential form is:

80993 = 11¹ × 37¹ × 199¹

Step-2: Prime Factorization of 81004

Prime factors of 81004 are 2, 7, 11, 263. Prime factorization of 81004 in exponential form is:

81004 = 2² × 7¹ × 11¹ × 263¹

Step-3: Factors of 80993

List of positive integer factors of 80993 that divides 80993 without a remainder.

1, 11, 37, 199, 407, 2189, 7363

Step-4: Factors of 81004

List of positive integer factors of 81004 that divides 80993 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 263, 308, 526, 1052, 1841, 2893, 3682, 5786, 7364, 11572, 20251, 40502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80993 and 81004. The biggest common factor number is the GCF number.
So the greatest common factor 80993 and 81004 is 11.

Also check out the Least Common Multiple of 80993 and 81004