What is the Greatest Common Factor of 35205 and 35223?

Greatest common factor (GCF) of 35205 and 35223 is 3.

GCF(35205,35223) = 3

We will now calculate the prime factors of 35205 and 35223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35205 and 35223.

How to find the GCF of 35205 and 35223?

We will first find the prime factorization of 35205 and 35223. After we will calculate the factors of 35205 and 35223 and find the biggest common factor number .

Step-1: Prime Factorization of 35205

Prime factors of 35205 are 3, 5, 2347. Prime factorization of 35205 in exponential form is:

35205 = 3¹ × 5¹ × 2347¹

Step-2: Prime Factorization of 35223

Prime factors of 35223 are 3, 59, 199. Prime factorization of 35223 in exponential form is:

35223 = 3¹ × 59¹ × 199¹

Step-3: Factors of 35205

List of positive integer factors of 35205 that divides 35205 without a remainder.

1, 3, 5, 15, 2347, 7041, 11735

Step-4: Factors of 35223

List of positive integer factors of 35223 that divides 35205 without a remainder.

1, 3, 59, 177, 199, 597, 11741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35205 and 35223. The biggest common factor number is the GCF number.
So the greatest common factor 35205 and 35223 is 3.

Also check out the Least Common Multiple of 35205 and 35223