What is the Greatest Common Factor of 83300 and 83320?

Greatest common factor (GCF) of 83300 and 83320 is 20.

GCF(83300,83320) = 20

We will now calculate the prime factors of 83300 and 83320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83300 and 83320.

How to find the GCF of 83300 and 83320?

We will first find the prime factorization of 83300 and 83320. After we will calculate the factors of 83300 and 83320 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 83320

Prime factors of 83320 are 2, 5, 2083. Prime factorization of 83320 in exponential form is:

83320 = 2³ × 5¹ × 2083¹

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 83320

List of positive integer factors of 83320 that divides 83300 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2083, 4166, 8332, 10415, 16664, 20830, 41660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83300 and 83320. The biggest common factor number is the GCF number.
So the greatest common factor 83300 and 83320 is 20.

Also check out the Least Common Multiple of 83300 and 83320