What is the Greatest Common Factor of 41695 and 41700?

Greatest common factor (GCF) of 41695 and 41700 is 5.

GCF(41695,41700) = 5

We will now calculate the prime factors of 41695 and 41700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41695 and 41700.

How to find the GCF of 41695 and 41700?

We will first find the prime factorization of 41695 and 41700. After we will calculate the factors of 41695 and 41700 and find the biggest common factor number .

Step-1: Prime Factorization of 41695

Prime factors of 41695 are 5, 31, 269. Prime factorization of 41695 in exponential form is:

41695 = 5¹ × 31¹ × 269¹

Step-2: 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-3: Factors of 41695

List of positive integer factors of 41695 that divides 41695 without a remainder.

1, 5, 31, 155, 269, 1345, 8339

Step-4: Factors of 41700

List of positive integer factors of 41700 that divides 41695 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41695 and 41700. The biggest common factor number is the GCF number.
So the greatest common factor 41695 and 41700 is 5.

Also check out the Least Common Multiple of 41695 and 41700