What is the Greatest Common Factor of 81580 and 81590?

Greatest common factor (GCF) of 81580 and 81590 is 10.

GCF(81580,81590) = 10

We will now calculate the prime factors of 81580 and 81590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81580 and 81590.

How to find the GCF of 81580 and 81590?

We will first find the prime factorization of 81580 and 81590. After we will calculate the factors of 81580 and 81590 and find the biggest common factor number .

Step-1: Prime Factorization of 81580

Prime factors of 81580 are 2, 5, 4079. Prime factorization of 81580 in exponential form is:

81580 = 2² × 5¹ × 4079¹

Step-2: Prime Factorization of 81590

Prime factors of 81590 are 2, 5, 41, 199. Prime factorization of 81590 in exponential form is:

81590 = 2¹ × 5¹ × 41¹ × 199¹

Step-3: Factors of 81580

List of positive integer factors of 81580 that divides 81580 without a remainder.

1, 2, 4, 5, 10, 20, 4079, 8158, 16316, 20395, 40790

Step-4: Factors of 81590

List of positive integer factors of 81590 that divides 81580 without a remainder.

1, 2, 5, 10, 41, 82, 199, 205, 398, 410, 995, 1990, 8159, 16318, 40795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81580 and 81590. The biggest common factor number is the GCF number.
So the greatest common factor 81580 and 81590 is 10.

Also check out the Least Common Multiple of 81580 and 81590