What is the Greatest Common Factor of 41877 and 41888?

Greatest common factor (GCF) of 41877 and 41888 is 11.

GCF(41877,41888) = 11

We will now calculate the prime factors of 41877 and 41888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41877 and 41888.

How to find the GCF of 41877 and 41888?

We will first find the prime factorization of 41877 and 41888. After we will calculate the factors of 41877 and 41888 and find the biggest common factor number .

Step-1: Prime Factorization of 41877

Prime factors of 41877 are 3, 11, 47. Prime factorization of 41877 in exponential form is:

41877 = 3⁴ × 11¹ × 47¹

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 41877

List of positive integer factors of 41877 that divides 41877 without a remainder.

1, 3, 9, 11, 27, 33, 47, 81, 99, 141, 297, 423, 517, 891, 1269, 1551, 3807, 4653, 13959

Step-4: Factors of 41888

List of positive integer factors of 41888 that divides 41877 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 41877 and 41888. The biggest common factor number is the GCF number.
So the greatest common factor 41877 and 41888 is 11.

Also check out the Least Common Multiple of 41877 and 41888