What is the Greatest Common Factor of 41888 and 41908?

Greatest common factor (GCF) of 41888 and 41908 is 4.

GCF(41888,41908) = 4

We will now calculate the prime factors of 41888 and 41908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41888 and 41908.

How to find the GCF of 41888 and 41908?

We will first find the prime factorization of 41888 and 41908. After we will calculate the factors of 41888 and 41908 and find the biggest common factor number .

Step-1: Prime Factorization of 41888

Prime factors of 41888 are 2, 7, 11, 17. Prime factorization of 41888 in exponential form is:

41888 = 2⁵ × 7¹ × 11¹ × 17¹

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 41888

List of positive integer factors of 41888 that divides 41888 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 17, 22, 28, 32, 34, 44, 56, 68, 77, 88, 112, 119, 136, 154, 176, 187, 224, 238, 272, 308, 352, 374, 476, 544, 616, 748, 952, 1232, 1309, 1496, 1904, 2464, 2618, 2992, 3808, 5236, 5984, 10472, 20944

Step-4: Factors of 41908

List of positive integer factors of 41908 that divides 41888 without a remainder.

1, 2, 4, 10477, 20954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41888 and 41908. The biggest common factor number is the GCF number.
So the greatest common factor 41888 and 41908 is 4.

Also check out the Least Common Multiple of 41888 and 41908