What is the Greatest Common Factor of 66335 and 66355?

Greatest common factor (GCF) of 66335 and 66355 is 5.

GCF(66335,66355) = 5

We will now calculate the prime factors of 66335 and 66355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66335 and 66355.

How to find the GCF of 66335 and 66355?

We will first find the prime factorization of 66335 and 66355. After we will calculate the factors of 66335 and 66355 and find the biggest common factor number .

Step-1: Prime Factorization of 66335

Prime factors of 66335 are 5, 13267. Prime factorization of 66335 in exponential form is:

66335 = 5¹ × 13267¹

Step-2: Prime Factorization of 66355

Prime factors of 66355 are 5, 23, 577. Prime factorization of 66355 in exponential form is:

66355 = 5¹ × 23¹ × 577¹

Step-3: Factors of 66335

List of positive integer factors of 66335 that divides 66335 without a remainder.

1, 5, 13267

Step-4: Factors of 66355

List of positive integer factors of 66355 that divides 66335 without a remainder.

1, 5, 23, 115, 577, 2885, 13271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66335 and 66355. The biggest common factor number is the GCF number.
So the greatest common factor 66335 and 66355 is 5.

Also check out the Least Common Multiple of 66335 and 66355