What is the Greatest Common Factor of 41888 and 41900?

Greatest common factor (GCF) of 41888 and 41900 is 4.

GCF(41888,41900) = 4

We will now calculate the prime factors of 41888 and 41900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41888 and 41900.

How to find the GCF of 41888 and 41900?

We will first find the prime factorization of 41888 and 41900. After we will calculate the factors of 41888 and 41900 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 41900

Prime factors of 41900 are 2, 5, 419. Prime factorization of 41900 in exponential form is:

41900 = 2² × 5² × 419¹

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 41900

List of positive integer factors of 41900 that divides 41888 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 419, 838, 1676, 2095, 4190, 8380, 10475, 20950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41888 and 41900. The biggest common factor number is the GCF number.
So the greatest common factor 41888 and 41900 is 4.

Also check out the Least Common Multiple of 41888 and 41900