What is the Greatest Common Factor of 41700 and 41715?

Greatest common factor (GCF) of 41700 and 41715 is 15.

GCF(41700,41715) = 15

We will now calculate the prime factors of 41700 and 41715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41700 and 41715.

How to find the GCF of 41700 and 41715?

We will first find the prime factorization of 41700 and 41715. After we will calculate the factors of 41700 and 41715 and find the biggest common factor number .

Step-1: Prime Factorization of 41700

Prime factors of 41700 are 2, 3, 5, 139. Prime factorization of 41700 in exponential form is:

41700 = 2² × 3¹ × 5² × 139¹

Step-2: Prime Factorization of 41715

Prime factors of 41715 are 3, 5, 103. Prime factorization of 41715 in exponential form is:

41715 = 3⁴ × 5¹ × 103¹

Step-3: Factors of 41700

List of positive integer factors of 41700 that divides 41700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 139, 150, 278, 300, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 3475, 4170, 6950, 8340, 10425, 13900, 20850

Step-4: Factors of 41715

List of positive integer factors of 41715 that divides 41700 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 103, 135, 309, 405, 515, 927, 1545, 2781, 4635, 8343, 13905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41700 and 41715. The biggest common factor number is the GCF number.
So the greatest common factor 41700 and 41715 is 15.

Also check out the Least Common Multiple of 41700 and 41715