What is the Greatest Common Factor of 19335 and 19355?

Greatest common factor (GCF) of 19335 and 19355 is 5.

GCF(19335,19355) = 5

We will now calculate the prime factors of 19335 and 19355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19335 and 19355.

How to find the GCF of 19335 and 19355?

We will first find the prime factorization of 19335 and 19355. After we will calculate the factors of 19335 and 19355 and find the biggest common factor number .

Step-1: Prime Factorization of 19335

Prime factors of 19335 are 3, 5, 1289. Prime factorization of 19335 in exponential form is:

19335 = 3¹ × 5¹ × 1289¹

Step-2: Prime Factorization of 19355

Prime factors of 19355 are 5, 7, 79. Prime factorization of 19355 in exponential form is:

19355 = 5¹ × 7² × 79¹

Step-3: Factors of 19335

List of positive integer factors of 19335 that divides 19335 without a remainder.

1, 3, 5, 15, 1289, 3867, 6445

Step-4: Factors of 19355

List of positive integer factors of 19355 that divides 19335 without a remainder.

1, 5, 7, 35, 49, 79, 245, 395, 553, 2765, 3871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19335 and 19355. The biggest common factor number is the GCF number.
So the greatest common factor 19335 and 19355 is 5.

Also check out the Least Common Multiple of 19335 and 19355