What is the Greatest Common Factor of 41900 and 41914?

Greatest common factor (GCF) of 41900 and 41914 is 2.

GCF(41900,41914) = 2

We will now calculate the prime factors of 41900 and 41914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41900 and 41914.

How to find the GCF of 41900 and 41914?

We will first find the prime factorization of 41900 and 41914. After we will calculate the factors of 41900 and 41914 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41914

Prime factors of 41914 are 2, 19, 1103. Prime factorization of 41914 in exponential form is:

41914 = 2¹ × 19¹ × 1103¹

Step-3: Factors of 41900

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

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

Step-4: Factors of 41914

List of positive integer factors of 41914 that divides 41900 without a remainder.

1, 2, 19, 38, 1103, 2206, 20957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41900 and 41914. The biggest common factor number is the GCF number.
So the greatest common factor 41900 and 41914 is 2.

Also check out the Least Common Multiple of 41900 and 41914