What is the Greatest Common Factor of 33320 and 33337?

Greatest common factor (GCF) of 33320 and 33337 is 17.

GCF(33320,33337) = 17

We will now calculate the prime factors of 33320 and 33337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33320 and 33337.

How to find the GCF of 33320 and 33337?

We will first find the prime factorization of 33320 and 33337. After we will calculate the factors of 33320 and 33337 and find the biggest common factor number .

Step-1: Prime Factorization of 33320

Prime factors of 33320 are 2, 5, 7, 17. Prime factorization of 33320 in exponential form is:

33320 = 2³ × 5¹ × 7² × 17¹

Step-2: Prime Factorization of 33337

Prime factors of 33337 are 17, 37, 53. Prime factorization of 33337 in exponential form is:

33337 = 17¹ × 37¹ × 53¹

Step-3: Factors of 33320

List of positive integer factors of 33320 that divides 33320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 49, 56, 68, 70, 85, 98, 119, 136, 140, 170, 196, 238, 245, 280, 340, 392, 476, 490, 595, 680, 833, 952, 980, 1190, 1666, 1960, 2380, 3332, 4165, 4760, 6664, 8330, 16660

Step-4: Factors of 33337

List of positive integer factors of 33337 that divides 33320 without a remainder.

1, 17, 37, 53, 629, 901, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33320 and 33337. The biggest common factor number is the GCF number.
So the greatest common factor 33320 and 33337 is 17.

Also check out the Least Common Multiple of 33320 and 33337