What is the Greatest Common Factor of 35643 and 35659?

Greatest common factor (GCF) of 35643 and 35659 is 1.

GCF(35643,35659) = 1

We will now calculate the prime factors of 35643 and 35659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35643 and 35659.

How to find the GCF of 35643 and 35659?

We will first find the prime factorization of 35643 and 35659. After we will calculate the factors of 35643 and 35659 and find the biggest common factor number .

Step-1: Prime Factorization of 35643

Prime factors of 35643 are 3, 109. Prime factorization of 35643 in exponential form is:

35643 = 3¹ × 109²

Step-2: Prime Factorization of 35659

Prime factors of 35659 are 13, 211. Prime factorization of 35659 in exponential form is:

35659 = 13² × 211¹

Step-3: Factors of 35643

List of positive integer factors of 35643 that divides 35643 without a remainder.

1, 3, 109, 327, 11881

Step-4: Factors of 35659

List of positive integer factors of 35659 that divides 35643 without a remainder.

1, 13, 169, 211, 2743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35643 and 35659. The biggest common factor number is the GCF number.
So the greatest common factor 35643 and 35659 is 1.

Also check out the Least Common Multiple of 35643 and 35659