What is the Greatest Common Factor of 41100 and 41112?

Greatest common factor (GCF) of 41100 and 41112 is 12.

GCF(41100,41112) = 12

We will now calculate the prime factors of 41100 and 41112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41100 and 41112.

How to find the GCF of 41100 and 41112?

We will first find the prime factorization of 41100 and 41112. After we will calculate the factors of 41100 and 41112 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 41112

Prime factors of 41112 are 2, 3, 571. Prime factorization of 41112 in exponential form is:

41112 = 2³ × 3² × 571¹

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 41112

List of positive integer factors of 41112 that divides 41100 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 571, 1142, 1713, 2284, 3426, 4568, 5139, 6852, 10278, 13704, 20556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41100 and 41112. The biggest common factor number is the GCF number.
So the greatest common factor 41100 and 41112 is 12.

Also check out the Least Common Multiple of 41100 and 41112