What is the Greatest Common Factor of 35205 and 35222?

Greatest common factor (GCF) of 35205 and 35222 is 1.

GCF(35205,35222) = 1

We will now calculate the prime factors of 35205 and 35222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35205 and 35222.

How to find the GCF of 35205 and 35222?

We will first find the prime factorization of 35205 and 35222. After we will calculate the factors of 35205 and 35222 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 35222

Prime factors of 35222 are 2, 11, 1601. Prime factorization of 35222 in exponential form is:

35222 = 2¹ × 11¹ × 1601¹

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 35222

List of positive integer factors of 35222 that divides 35205 without a remainder.

1, 2, 11, 22, 1601, 3202, 17611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35205 and 35222. The biggest common factor number is the GCF number.
So the greatest common factor 35205 and 35222 is 1.

Also check out the Least Common Multiple of 35205 and 35222