What is the Greatest Common Factor of 33355 and 33369?

Greatest common factor (GCF) of 33355 and 33369 is 7.

GCF(33355,33369) = 7

We will now calculate the prime factors of 33355 and 33369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33355 and 33369.

How to find the GCF of 33355 and 33369?

We will first find the prime factorization of 33355 and 33369. After we will calculate the factors of 33355 and 33369 and find the biggest common factor number .

Step-1: Prime Factorization of 33355

Prime factors of 33355 are 5, 7, 953. Prime factorization of 33355 in exponential form is:

33355 = 5¹ × 7¹ × 953¹

Step-2: Prime Factorization of 33369

Prime factors of 33369 are 3, 7, 227. Prime factorization of 33369 in exponential form is:

33369 = 3¹ × 7² × 227¹

Step-3: Factors of 33355

List of positive integer factors of 33355 that divides 33355 without a remainder.

1, 5, 7, 35, 953, 4765, 6671

Step-4: Factors of 33369

List of positive integer factors of 33369 that divides 33355 without a remainder.

1, 3, 7, 21, 49, 147, 227, 681, 1589, 4767, 11123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33355 and 33369. The biggest common factor number is the GCF number.
So the greatest common factor 33355 and 33369 is 7.

Also check out the Least Common Multiple of 33355 and 33369