What is the Greatest Common Factor of 81530 and 81540?

Greatest common factor (GCF) of 81530 and 81540 is 10.

GCF(81530,81540) = 10

We will now calculate the prime factors of 81530 and 81540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81530 and 81540.

How to find the GCF of 81530 and 81540?

We will first find the prime factorization of 81530 and 81540. After we will calculate the factors of 81530 and 81540 and find the biggest common factor number .

Step-1: Prime Factorization of 81530

Prime factors of 81530 are 2, 5, 31, 263. Prime factorization of 81530 in exponential form is:

81530 = 2¹ × 5¹ × 31¹ × 263¹

Step-2: Prime Factorization of 81540

Prime factors of 81540 are 2, 3, 5, 151. Prime factorization of 81540 in exponential form is:

81540 = 2² × 3³ × 5¹ × 151¹

Step-3: Factors of 81530

List of positive integer factors of 81530 that divides 81530 without a remainder.

1, 2, 5, 10, 31, 62, 155, 263, 310, 526, 1315, 2630, 8153, 16306, 40765

Step-4: Factors of 81540

List of positive integer factors of 81540 that divides 81530 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 151, 180, 270, 302, 453, 540, 604, 755, 906, 1359, 1510, 1812, 2265, 2718, 3020, 4077, 4530, 5436, 6795, 8154, 9060, 13590, 16308, 20385, 27180, 40770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81530 and 81540. The biggest common factor number is the GCF number.
So the greatest common factor 81530 and 81540 is 10.

Also check out the Least Common Multiple of 81530 and 81540