What is the Greatest Common Factor of 81600 and 81616?

Greatest common factor (GCF) of 81600 and 81616 is 16.

GCF(81600,81616) = 16

We will now calculate the prime factors of 81600 and 81616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81600 and 81616.

How to find the GCF of 81600 and 81616?

We will first find the prime factorization of 81600 and 81616. After we will calculate the factors of 81600 and 81616 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 81616

Prime factors of 81616 are 2, 5101. Prime factorization of 81616 in exponential form is:

81616 = 2⁴ × 5101¹

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 81616

List of positive integer factors of 81616 that divides 81600 without a remainder.

1, 2, 4, 8, 16, 5101, 10202, 20404, 40808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81600 and 81616. The biggest common factor number is the GCF number.
So the greatest common factor 81600 and 81616 is 16.

Also check out the Least Common Multiple of 81600 and 81616