What is the Greatest Common Factor of 81670 and 81680?

Greatest common factor (GCF) of 81670 and 81680 is 10.

GCF(81670,81680) = 10

We will now calculate the prime factors of 81670 and 81680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81670 and 81680.

How to find the GCF of 81670 and 81680?

We will first find the prime factorization of 81670 and 81680. After we will calculate the factors of 81670 and 81680 and find the biggest common factor number .

Step-1: Prime Factorization of 81670

Prime factors of 81670 are 2, 5, 8167. Prime factorization of 81670 in exponential form is:

81670 = 2¹ × 5¹ × 8167¹

Step-2: Prime Factorization of 81680

Prime factors of 81680 are 2, 5, 1021. Prime factorization of 81680 in exponential form is:

81680 = 2⁴ × 5¹ × 1021¹

Step-3: Factors of 81670

List of positive integer factors of 81670 that divides 81670 without a remainder.

1, 2, 5, 10, 8167, 16334, 40835

Step-4: Factors of 81680

List of positive integer factors of 81680 that divides 81670 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1021, 2042, 4084, 5105, 8168, 10210, 16336, 20420, 40840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81670 and 81680. The biggest common factor number is the GCF number.
So the greatest common factor 81670 and 81680 is 10.

Also check out the Least Common Multiple of 81670 and 81680