What is the Greatest Common Factor of 41700 and 41710?

Greatest common factor (GCF) of 41700 and 41710 is 10.

GCF(41700,41710) = 10

We will now calculate the prime factors of 41700 and 41710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41700 and 41710.

How to find the GCF of 41700 and 41710?

We will first find the prime factorization of 41700 and 41710. After we will calculate the factors of 41700 and 41710 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 41710

Prime factors of 41710 are 2, 5, 43, 97. Prime factorization of 41710 in exponential form is:

41710 = 2¹ × 5¹ × 43¹ × 97¹

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 41710

List of positive integer factors of 41710 that divides 41700 without a remainder.

1, 2, 5, 10, 43, 86, 97, 194, 215, 430, 485, 970, 4171, 8342, 20855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41700 and 41710. The biggest common factor number is the GCF number.
So the greatest common factor 41700 and 41710 is 10.

Also check out the Least Common Multiple of 41700 and 41710