What is the Greatest Common Factor of 41905 and 41922?

Greatest common factor (GCF) of 41905 and 41922 is 17.

GCF(41905,41922) = 17

We will now calculate the prime factors of 41905 and 41922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41905 and 41922.

How to find the GCF of 41905 and 41922?

We will first find the prime factorization of 41905 and 41922. After we will calculate the factors of 41905 and 41922 and find the biggest common factor number .

Step-1: Prime Factorization of 41905

Prime factors of 41905 are 5, 17, 29. Prime factorization of 41905 in exponential form is:

41905 = 5¹ × 17² × 29¹

Step-2: Prime Factorization of 41922

Prime factors of 41922 are 2, 3, 17, 137. Prime factorization of 41922 in exponential form is:

41922 = 2¹ × 3² × 17¹ × 137¹

Step-3: Factors of 41905

List of positive integer factors of 41905 that divides 41905 without a remainder.

1, 5, 17, 29, 85, 145, 289, 493, 1445, 2465, 8381

Step-4: Factors of 41922

List of positive integer factors of 41922 that divides 41905 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 137, 153, 274, 306, 411, 822, 1233, 2329, 2466, 4658, 6987, 13974, 20961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41905 and 41922. The biggest common factor number is the GCF number.
So the greatest common factor 41905 and 41922 is 17.

Also check out the Least Common Multiple of 41905 and 41922