What is the Greatest Common Factor of 41634 and 41644?

Greatest common factor (GCF) of 41634 and 41644 is 2.

GCF(41634,41644) = 2

We will now calculate the prime factors of 41634 and 41644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41634 and 41644.

How to find the GCF of 41634 and 41644?

We will first find the prime factorization of 41634 and 41644. After we will calculate the factors of 41634 and 41644 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 41644

Prime factors of 41644 are 2, 29, 359. Prime factorization of 41644 in exponential form is:

41644 = 2² × 29¹ × 359¹

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 41644

List of positive integer factors of 41644 that divides 41634 without a remainder.

1, 2, 4, 29, 58, 116, 359, 718, 1436, 10411, 20822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41634 and 41644. The biggest common factor number is the GCF number.
So the greatest common factor 41634 and 41644 is 2.

Also check out the Least Common Multiple of 41634 and 41644