What is the Greatest Common Factor of 41180 and 41190?

Greatest common factor (GCF) of 41180 and 41190 is 10.

GCF(41180,41190) = 10

We will now calculate the prime factors of 41180 and 41190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41180 and 41190.

How to find the GCF of 41180 and 41190?

We will first find the prime factorization of 41180 and 41190. After we will calculate the factors of 41180 and 41190 and find the biggest common factor number .

Step-1: Prime Factorization of 41180

Prime factors of 41180 are 2, 5, 29, 71. Prime factorization of 41180 in exponential form is:

41180 = 2² × 5¹ × 29¹ × 71¹

Step-2: Prime Factorization of 41190

Prime factors of 41190 are 2, 3, 5, 1373. Prime factorization of 41190 in exponential form is:

41190 = 2¹ × 3¹ × 5¹ × 1373¹

Step-3: Factors of 41180

List of positive integer factors of 41180 that divides 41180 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 71, 116, 142, 145, 284, 290, 355, 580, 710, 1420, 2059, 4118, 8236, 10295, 20590

Step-4: Factors of 41190

List of positive integer factors of 41190 that divides 41180 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1373, 2746, 4119, 6865, 8238, 13730, 20595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41180 and 41190. The biggest common factor number is the GCF number.
So the greatest common factor 41180 and 41190 is 10.

Also check out the Least Common Multiple of 41180 and 41190