What is the Greatest Common Factor of 81070 and 81089?

Greatest common factor (GCF) of 81070 and 81089 is 1.

GCF(81070,81089) = 1

We will now calculate the prime factors of 81070 and 81089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81070 and 81089.

How to find the GCF of 81070 and 81089?

We will first find the prime factorization of 81070 and 81089. After we will calculate the factors of 81070 and 81089 and find the biggest common factor number .

Step-1: Prime Factorization of 81070

Prime factors of 81070 are 2, 5, 11, 67. Prime factorization of 81070 in exponential form is:

81070 = 2¹ × 5¹ × 11² × 67¹

Step-2: Prime Factorization of 81089

Prime factors of 81089 are 131, 619. Prime factorization of 81089 in exponential form is:

81089 = 131¹ × 619¹

Step-3: Factors of 81070

List of positive integer factors of 81070 that divides 81070 without a remainder.

1, 2, 5, 10, 11, 22, 55, 67, 110, 121, 134, 242, 335, 605, 670, 737, 1210, 1474, 3685, 7370, 8107, 16214, 40535

Step-4: Factors of 81089

List of positive integer factors of 81089 that divides 81070 without a remainder.

1, 131, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81070 and 81089. The biggest common factor number is the GCF number.
So the greatest common factor 81070 and 81089 is 1.

Also check out the Least Common Multiple of 81070 and 81089