What is the Greatest Common Factor of 41888 and 41905?

Greatest common factor (GCF) of 41888 and 41905 is 17.

GCF(41888,41905) = 17

We will now calculate the prime factors of 41888 and 41905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41888 and 41905.

How to find the GCF of 41888 and 41905?

We will first find the prime factorization of 41888 and 41905. After we will calculate the factors of 41888 and 41905 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 41905

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

41905 = 5¹ × 17² × 29¹

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 41905

List of positive integer factors of 41905 that divides 41888 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41888 and 41905. The biggest common factor number is the GCF number.
So the greatest common factor 41888 and 41905 is 17.

Also check out the Least Common Multiple of 41888 and 41905