What is the Greatest Common Factor of 41100 and 41107?

Greatest common factor (GCF) of 41100 and 41107 is 1.

GCF(41100,41107) = 1

We will now calculate the prime factors of 41100 and 41107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41100 and 41107.

How to find the GCF of 41100 and 41107?

We will first find the prime factorization of 41100 and 41107. After we will calculate the factors of 41100 and 41107 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 41107

Prime factors of 41107 are 11, 37, 101. Prime factorization of 41107 in exponential form is:

41107 = 11¹ × 37¹ × 101¹

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 41107

List of positive integer factors of 41107 that divides 41100 without a remainder.

1, 11, 37, 101, 407, 1111, 3737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41100 and 41107. The biggest common factor number is the GCF number.
So the greatest common factor 41100 and 41107 is 1.

Also check out the Least Common Multiple of 41100 and 41107