What is the Greatest Common Factor of 41330 and 41350?

Greatest common factor (GCF) of 41330 and 41350 is 10.

GCF(41330,41350) = 10

We will now calculate the prime factors of 41330 and 41350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41330 and 41350.

How to find the GCF of 41330 and 41350?

We will first find the prime factorization of 41330 and 41350. After we will calculate the factors of 41330 and 41350 and find the biggest common factor number .

Step-1: Prime Factorization of 41330

Prime factors of 41330 are 2, 5, 4133. Prime factorization of 41330 in exponential form is:

41330 = 2¹ × 5¹ × 4133¹

Step-2: Prime Factorization of 41350

Prime factors of 41350 are 2, 5, 827. Prime factorization of 41350 in exponential form is:

41350 = 2¹ × 5² × 827¹

Step-3: Factors of 41330

List of positive integer factors of 41330 that divides 41330 without a remainder.

1, 2, 5, 10, 4133, 8266, 20665

Step-4: Factors of 41350

List of positive integer factors of 41350 that divides 41330 without a remainder.

1, 2, 5, 10, 25, 50, 827, 1654, 4135, 8270, 20675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41330 and 41350. The biggest common factor number is the GCF number.
So the greatest common factor 41330 and 41350 is 10.

Also check out the Least Common Multiple of 41330 and 41350