What is the Greatest Common Factor of 80989 and 81004?

Greatest common factor (GCF) of 80989 and 81004 is 1.

GCF(80989,81004) = 1

We will now calculate the prime factors of 80989 and 81004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80989 and 81004.

How to find the GCF of 80989 and 81004?

We will first find the prime factorization of 80989 and 81004. After we will calculate the factors of 80989 and 81004 and find the biggest common factor number .

Step-1: Prime Factorization of 80989

Prime factors of 80989 are 80989. Prime factorization of 80989 in exponential form is:

80989 = 80989¹

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 80989

List of positive integer factors of 80989 that divides 80989 without a remainder.

Step-4: Factors of 81004

List of positive integer factors of 81004 that divides 80989 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 80989 and 81004. The biggest common factor number is the GCF number.
So the greatest common factor 80989 and 81004 is 1.

Also check out the Least Common Multiple of 80989 and 81004