What is the Greatest Common Factor of 41100 and 41108?

Greatest common factor (GCF) of 41100 and 41108 is 4.

GCF(41100,41108) = 4

We will now calculate the prime factors of 41100 and 41108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41100 and 41108.

How to find the GCF of 41100 and 41108?

We will first find the prime factorization of 41100 and 41108. After we will calculate the factors of 41100 and 41108 and find the biggest common factor number .

Step-1: Prime Factorization of 41100

Prime factors of 41100 are 2, 3, 5, 137. Prime factorization of 41100 in exponential form is:

41100 = 2² × 3¹ × 5² × 137¹

Step-2: Prime Factorization of 41108

Prime factors of 41108 are 2, 43, 239. Prime factorization of 41108 in exponential form is:

41108 = 2² × 43¹ × 239¹

Step-3: Factors of 41100

List of positive integer factors of 41100 that divides 41100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 137, 150, 274, 300, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 3425, 4110, 6850, 8220, 10275, 13700, 20550

Step-4: Factors of 41108

List of positive integer factors of 41108 that divides 41100 without a remainder.

1, 2, 4, 43, 86, 172, 239, 478, 956, 10277, 20554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41100 and 41108. The biggest common factor number is the GCF number.
So the greatest common factor 41100 and 41108 is 4.

Also check out the Least Common Multiple of 41100 and 41108