What is the Greatest Common Factor of 41876 and 41888?

Greatest common factor (GCF) of 41876 and 41888 is 4.

GCF(41876,41888) = 4

We will now calculate the prime factors of 41876 and 41888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41876 and 41888.

How to find the GCF of 41876 and 41888?

We will first find the prime factorization of 41876 and 41888. After we will calculate the factors of 41876 and 41888 and find the biggest common factor number .

Step-1: Prime Factorization of 41876

Prime factors of 41876 are 2, 19, 29. Prime factorization of 41876 in exponential form is:

41876 = 2² × 19² × 29¹

Step-2: 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-3: Factors of 41876

List of positive integer factors of 41876 that divides 41876 without a remainder.

1, 2, 4, 19, 29, 38, 58, 76, 116, 361, 551, 722, 1102, 1444, 2204, 10469, 20938

Step-4: Factors of 41888

List of positive integer factors of 41888 that divides 41876 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41876 and 41888. The biggest common factor number is the GCF number.
So the greatest common factor 41876 and 41888 is 4.

Also check out the Least Common Multiple of 41876 and 41888