What is the Greatest Common Factor of 41655 and 41670?

Greatest common factor (GCF) of 41655 and 41670 is 15.

GCF(41655,41670) = 15

We will now calculate the prime factors of 41655 and 41670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41655 and 41670.

How to find the GCF of 41655 and 41670?

We will first find the prime factorization of 41655 and 41670. After we will calculate the factors of 41655 and 41670 and find the biggest common factor number .

Step-1: Prime Factorization of 41655

Prime factors of 41655 are 3, 5, 2777. Prime factorization of 41655 in exponential form is:

41655 = 3¹ × 5¹ × 2777¹

Step-2: Prime Factorization of 41670

Prime factors of 41670 are 2, 3, 5, 463. Prime factorization of 41670 in exponential form is:

41670 = 2¹ × 3² × 5¹ × 463¹

Step-3: Factors of 41655

List of positive integer factors of 41655 that divides 41655 without a remainder.

1, 3, 5, 15, 2777, 8331, 13885

Step-4: Factors of 41670

List of positive integer factors of 41670 that divides 41655 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 463, 926, 1389, 2315, 2778, 4167, 4630, 6945, 8334, 13890, 20835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41655 and 41670. The biggest common factor number is the GCF number.
So the greatest common factor 41655 and 41670 is 15.

Also check out the Least Common Multiple of 41655 and 41670