What is the Greatest Common Factor of 83300 and 83308?

Greatest common factor (GCF) of 83300 and 83308 is 4.

GCF(83300,83308) = 4

We will now calculate the prime factors of 83300 and 83308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83300 and 83308.

How to find the GCF of 83300 and 83308?

We will first find the prime factorization of 83300 and 83308. After we will calculate the factors of 83300 and 83308 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 83308

Prime factors of 83308 are 2, 59, 353. Prime factorization of 83308 in exponential form is:

83308 = 2² × 59¹ × 353¹

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 83308

List of positive integer factors of 83308 that divides 83300 without a remainder.

1, 2, 4, 59, 118, 236, 353, 706, 1412, 20827, 41654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83300 and 83308. The biggest common factor number is the GCF number.
So the greatest common factor 83300 and 83308 is 4.

Also check out the Least Common Multiple of 83300 and 83308