What is the Greatest Common Factor of 41874 and 41888?

Greatest common factor (GCF) of 41874 and 41888 is 14.

GCF(41874,41888) = 14

We will now calculate the prime factors of 41874 and 41888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41874 and 41888.

How to find the GCF of 41874 and 41888?

We will first find the prime factorization of 41874 and 41888. After we will calculate the factors of 41874 and 41888 and find the biggest common factor number .

Step-1: Prime Factorization of 41874

Prime factors of 41874 are 2, 3, 7, 997. Prime factorization of 41874 in exponential form is:

41874 = 2¹ × 3¹ × 7¹ × 997¹

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 41874

List of positive integer factors of 41874 that divides 41874 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 997, 1994, 2991, 5982, 6979, 13958, 20937

Step-4: Factors of 41888

List of positive integer factors of 41888 that divides 41874 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 41874 and 41888. The biggest common factor number is the GCF number.
So the greatest common factor 41874 and 41888 is 14.

Also check out the Least Common Multiple of 41874 and 41888