What is the Greatest Common Factor of 41634 and 41653?

Greatest common factor (GCF) of 41634 and 41653 is 1.

GCF(41634,41653) = 1

We will now calculate the prime factors of 41634 and 41653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41634 and 41653.

How to find the GCF of 41634 and 41653?

We will first find the prime factorization of 41634 and 41653. After we will calculate the factors of 41634 and 41653 and find the biggest common factor number .

Step-1: Prime Factorization of 41634

Prime factors of 41634 are 2, 3, 257. Prime factorization of 41634 in exponential form is:

41634 = 2¹ × 3⁴ × 257¹

Step-2: Prime Factorization of 41653

Prime factors of 41653 are 23, 1811. Prime factorization of 41653 in exponential form is:

41653 = 23¹ × 1811¹

Step-3: Factors of 41634

List of positive integer factors of 41634 that divides 41634 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 257, 514, 771, 1542, 2313, 4626, 6939, 13878, 20817

Step-4: Factors of 41653

List of positive integer factors of 41653 that divides 41634 without a remainder.

1, 23, 1811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41634 and 41653. The biggest common factor number is the GCF number.
So the greatest common factor 41634 and 41653 is 1.

Also check out the Least Common Multiple of 41634 and 41653