What is the Greatest Common Factor of 41700 and 41707?

Greatest common factor (GCF) of 41700 and 41707 is 1.

GCF(41700,41707) = 1

We will now calculate the prime factors of 41700 and 41707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41700 and 41707.

How to find the GCF of 41700 and 41707?

We will first find the prime factorization of 41700 and 41707. After we will calculate the factors of 41700 and 41707 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 41707

Prime factors of 41707 are 179, 233. Prime factorization of 41707 in exponential form is:

41707 = 179¹ × 233¹

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 41707

List of positive integer factors of 41707 that divides 41700 without a remainder.

1, 179, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41700 and 41707. The biggest common factor number is the GCF number.
So the greatest common factor 41700 and 41707 is 1.

Also check out the Least Common Multiple of 41700 and 41707