What is the Greatest Common Factor of 81600 and 81615?

Greatest common factor (GCF) of 81600 and 81615 is 15.

GCF(81600,81615) = 15

We will now calculate the prime factors of 81600 and 81615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81600 and 81615.

How to find the GCF of 81600 and 81615?

We will first find the prime factorization of 81600 and 81615. After we will calculate the factors of 81600 and 81615 and find the biggest common factor number .

Step-1: Prime Factorization of 81600

Prime factors of 81600 are 2, 3, 5, 17. Prime factorization of 81600 in exponential form is:

81600 = 2⁶ × 3¹ × 5² × 17¹

Step-2: 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-3: Factors of 81600

List of positive integer factors of 81600 that divides 81600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 32, 34, 40, 48, 50, 51, 60, 64, 68, 75, 80, 85, 96, 100, 102, 120, 136, 150, 160, 170, 192, 200, 204, 240, 255, 272, 300, 320, 340, 400, 408, 425, 480, 510, 544, 600, 680, 800, 816, 850, 960, 1020, 1088, 1200, 1275, 1360, 1600, 1632, 1700, 2040, 2400, 2550, 2720, 3264, 3400, 4080, 4800, 5100, 5440, 6800, 8160, 10200, 13600, 16320, 20400, 27200, 40800

Step-4: Factors of 81615

List of positive integer factors of 81615 that divides 81600 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81600 and 81615. The biggest common factor number is the GCF number.
So the greatest common factor 81600 and 81615 is 15.

Also check out the Least Common Multiple of 81600 and 81615