What is the Greatest Common Factor of 81070 and 81085?

Greatest common factor (GCF) of 81070 and 81085 is 5.

GCF(81070,81085) = 5

We will now calculate the prime factors of 81070 and 81085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81070 and 81085.

How to find the GCF of 81070 and 81085?

We will first find the prime factorization of 81070 and 81085. After we will calculate the factors of 81070 and 81085 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 81085

Prime factors of 81085 are 5, 16217. Prime factorization of 81085 in exponential form is:

81085 = 5¹ × 16217¹

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 81085

List of positive integer factors of 81085 that divides 81070 without a remainder.

1, 5, 16217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81070 and 81085. The biggest common factor number is the GCF number.
So the greatest common factor 81070 and 81085 is 5.

Also check out the Least Common Multiple of 81070 and 81085