What is the Greatest Common Factor of 35229 and 35243?

Greatest common factor (GCF) of 35229 and 35243 is 1.

GCF(35229,35243) = 1

We will now calculate the prime factors of 35229 and 35243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35229 and 35243.

How to find the GCF of 35229 and 35243?

We will first find the prime factorization of 35229 and 35243. After we will calculate the factors of 35229 and 35243 and find the biggest common factor number .

Step-1: Prime Factorization of 35229

Prime factors of 35229 are 3, 11743. Prime factorization of 35229 in exponential form is:

35229 = 3¹ × 11743¹

Step-2: Prime Factorization of 35243

Prime factors of 35243 are 13, 2711. Prime factorization of 35243 in exponential form is:

35243 = 13¹ × 2711¹

Step-3: Factors of 35229

List of positive integer factors of 35229 that divides 35229 without a remainder.

1, 3, 11743

Step-4: Factors of 35243

List of positive integer factors of 35243 that divides 35229 without a remainder.

1, 13, 2711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35229 and 35243. The biggest common factor number is the GCF number.
So the greatest common factor 35229 and 35243 is 1.

Also check out the Least Common Multiple of 35229 and 35243