What is the Greatest Common Factor of 41902 and 41908?

Greatest common factor (GCF) of 41902 and 41908 is 2.

GCF(41902,41908) = 2

We will now calculate the prime factors of 41902 and 41908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41902 and 41908.

How to find the GCF of 41902 and 41908?

We will first find the prime factorization of 41902 and 41908. After we will calculate the factors of 41902 and 41908 and find the biggest common factor number .

Step-1: Prime Factorization of 41902

Prime factors of 41902 are 2, 7, 41, 73. Prime factorization of 41902 in exponential form is:

41902 = 2¹ × 7¹ × 41¹ × 73¹

Step-2: Prime Factorization of 41908

Prime factors of 41908 are 2, 10477. Prime factorization of 41908 in exponential form is:

41908 = 2² × 10477¹

Step-3: Factors of 41902

List of positive integer factors of 41902 that divides 41902 without a remainder.

1, 2, 7, 14, 41, 73, 82, 146, 287, 511, 574, 1022, 2993, 5986, 20951

Step-4: Factors of 41908

List of positive integer factors of 41908 that divides 41902 without a remainder.

1, 2, 4, 10477, 20954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41902 and 41908. The biggest common factor number is the GCF number.
So the greatest common factor 41902 and 41908 is 2.

Also check out the Least Common Multiple of 41902 and 41908