What is the Greatest Common Factor of 81059 and 81070?

Greatest common factor (GCF) of 81059 and 81070 is 11.

GCF(81059,81070) = 11

We will now calculate the prime factors of 81059 and 81070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81059 and 81070.

How to find the GCF of 81059 and 81070?

We will first find the prime factorization of 81059 and 81070. After we will calculate the factors of 81059 and 81070 and find the biggest common factor number .

Step-1: Prime Factorization of 81059

Prime factors of 81059 are 11, 7369. Prime factorization of 81059 in exponential form is:

81059 = 11¹ × 7369¹

Step-2: 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-3: Factors of 81059

List of positive integer factors of 81059 that divides 81059 without a remainder.

1, 11, 7369

Step-4: Factors of 81070

List of positive integer factors of 81070 that divides 81059 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81059 and 81070. The biggest common factor number is the GCF number.
So the greatest common factor 81059 and 81070 is 11.

Also check out the Least Common Multiple of 81059 and 81070