What is the Greatest Common Factor of 41888 and 41895?

Greatest common factor (GCF) of 41888 and 41895 is 7.

GCF(41888,41895) = 7

We will now calculate the prime factors of 41888 and 41895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41888 and 41895.

How to find the GCF of 41888 and 41895?

We will first find the prime factorization of 41888 and 41895. After we will calculate the factors of 41888 and 41895 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 41895

Prime factors of 41895 are 3, 5, 7, 19. Prime factorization of 41895 in exponential form is:

41895 = 3² × 5¹ × 7² × 19¹

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 41895

List of positive integer factors of 41895 that divides 41888 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 49, 57, 63, 95, 105, 133, 147, 171, 245, 285, 315, 399, 441, 665, 735, 855, 931, 1197, 1995, 2205, 2793, 4655, 5985, 8379, 13965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41888 and 41895. The biggest common factor number is the GCF number.
So the greatest common factor 41888 and 41895 is 7.

Also check out the Least Common Multiple of 41888 and 41895