What is the Greatest Common Factor of 83300 and 83312?

Greatest common factor (GCF) of 83300 and 83312 is 4.

GCF(83300,83312) = 4

We will now calculate the prime factors of 83300 and 83312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83300 and 83312.

How to find the GCF of 83300 and 83312?

We will first find the prime factorization of 83300 and 83312. After we will calculate the factors of 83300 and 83312 and find the biggest common factor number .

Step-1: Prime Factorization of 83300

Prime factors of 83300 are 2, 5, 7, 17. Prime factorization of 83300 in exponential form is:

83300 = 2² × 5² × 7² × 17¹

Step-2: Prime Factorization of 83312

Prime factors of 83312 are 2, 41, 127. Prime factorization of 83312 in exponential form is:

83312 = 2⁴ × 41¹ × 127¹

Step-3: Factors of 83300

List of positive integer factors of 83300 that divides 83300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 49, 50, 68, 70, 85, 98, 100, 119, 140, 170, 175, 196, 238, 245, 340, 350, 425, 476, 490, 595, 700, 833, 850, 980, 1190, 1225, 1666, 1700, 2380, 2450, 2975, 3332, 4165, 4900, 5950, 8330, 11900, 16660, 20825, 41650

Step-4: Factors of 83312

List of positive integer factors of 83312 that divides 83300 without a remainder.

1, 2, 4, 8, 16, 41, 82, 127, 164, 254, 328, 508, 656, 1016, 2032, 5207, 10414, 20828, 41656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83300 and 83312. The biggest common factor number is the GCF number.
So the greatest common factor 83300 and 83312 is 4.

Also check out the Least Common Multiple of 83300 and 83312