What is the Greatest Common Factor of 81600 and 81610?

Greatest common factor (GCF) of 81600 and 81610 is 10.

GCF(81600,81610) = 10

We will now calculate the prime factors of 81600 and 81610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81600 and 81610.

How to find the GCF of 81600 and 81610?

We will first find the prime factorization of 81600 and 81610. After we will calculate the factors of 81600 and 81610 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 81610

Prime factors of 81610 are 2, 5, 8161. Prime factorization of 81610 in exponential form is:

81610 = 2¹ × 5¹ × 8161¹

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 81610

List of positive integer factors of 81610 that divides 81600 without a remainder.

1, 2, 5, 10, 8161, 16322, 40805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81600 and 81610. The biggest common factor number is the GCF number.
So the greatest common factor 81600 and 81610 is 10.

Also check out the Least Common Multiple of 81600 and 81610