What is the Greatest Common Factor of 81615 and 81630?

Greatest common factor (GCF) of 81615 and 81630 is 15.

GCF(81615,81630) = 15

We will now calculate the prime factors of 81615 and 81630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81615 and 81630.

How to find the GCF of 81615 and 81630?

We will first find the prime factorization of 81615 and 81630. After we will calculate the factors of 81615 and 81630 and find the biggest common factor number .

Step-1: Prime Factorization of 81615

Prime factors of 81615 are 3, 5, 5441. Prime factorization of 81615 in exponential form is:

81615 = 3¹ × 5¹ × 5441¹

Step-2: Prime Factorization of 81630

Prime factors of 81630 are 2, 3, 5, 907. Prime factorization of 81630 in exponential form is:

81630 = 2¹ × 3² × 5¹ × 907¹

Step-3: Factors of 81615

List of positive integer factors of 81615 that divides 81615 without a remainder.

1, 3, 5, 15, 5441, 16323, 27205

Step-4: Factors of 81630

List of positive integer factors of 81630 that divides 81615 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 907, 1814, 2721, 4535, 5442, 8163, 9070, 13605, 16326, 27210, 40815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81615 and 81630. The biggest common factor number is the GCF number.
So the greatest common factor 81615 and 81630 is 15.

Also check out the Least Common Multiple of 81615 and 81630