What is the Greatest Common Factor of 35634 and 35643?

Greatest common factor (GCF) of 35634 and 35643 is 3.

GCF(35634,35643) = 3

We will now calculate the prime factors of 35634 and 35643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35634 and 35643.

How to find the GCF of 35634 and 35643?

We will first find the prime factorization of 35634 and 35643. After we will calculate the factors of 35634 and 35643 and find the biggest common factor number .

Step-1: Prime Factorization of 35634

Prime factors of 35634 are 2, 3, 5939. Prime factorization of 35634 in exponential form is:

35634 = 2¹ × 3¹ × 5939¹

Step-2: Prime Factorization of 35643

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

35643 = 3¹ × 109²

Step-3: Factors of 35634

List of positive integer factors of 35634 that divides 35634 without a remainder.

1, 2, 3, 6, 5939, 11878, 17817

Step-4: Factors of 35643

List of positive integer factors of 35643 that divides 35634 without a remainder.

1, 3, 109, 327, 11881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35634 and 35643. The biggest common factor number is the GCF number.
So the greatest common factor 35634 and 35643 is 3.

Also check out the Least Common Multiple of 35634 and 35643