What is the Greatest Common Factor of 41888 and 41904?

Greatest common factor (GCF) of 41888 and 41904 is 16.

GCF(41888,41904) = 16

We will now calculate the prime factors of 41888 and 41904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41888 and 41904.

How to find the GCF of 41888 and 41904?

We will first find the prime factorization of 41888 and 41904. After we will calculate the factors of 41888 and 41904 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 41904

Prime factors of 41904 are 2, 3, 97. Prime factorization of 41904 in exponential form is:

41904 = 2⁴ × 3³ × 97¹

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 41904

List of positive integer factors of 41904 that divides 41888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 97, 108, 144, 194, 216, 291, 388, 432, 582, 776, 873, 1164, 1552, 1746, 2328, 2619, 3492, 4656, 5238, 6984, 10476, 13968, 20952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41888 and 41904. The biggest common factor number is the GCF number.
So the greatest common factor 41888 and 41904 is 16.

Also check out the Least Common Multiple of 41888 and 41904