What is the Greatest Common Factor of 41230 and 41240?

Greatest common factor (GCF) of 41230 and 41240 is 10.

GCF(41230,41240) = 10

We will now calculate the prime factors of 41230 and 41240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41230 and 41240.

How to find the GCF of 41230 and 41240?

We will first find the prime factorization of 41230 and 41240. After we will calculate the factors of 41230 and 41240 and find the biggest common factor number .

Step-1: Prime Factorization of 41230

Prime factors of 41230 are 2, 5, 7, 19, 31. Prime factorization of 41230 in exponential form is:

41230 = 2¹ × 5¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 41240

Prime factors of 41240 are 2, 5, 1031. Prime factorization of 41240 in exponential form is:

41240 = 2³ × 5¹ × 1031¹

Step-3: Factors of 41230

List of positive integer factors of 41230 that divides 41230 without a remainder.

1, 2, 5, 7, 10, 14, 19, 31, 35, 38, 62, 70, 95, 133, 155, 190, 217, 266, 310, 434, 589, 665, 1085, 1178, 1330, 2170, 2945, 4123, 5890, 8246, 20615

Step-4: Factors of 41240

List of positive integer factors of 41240 that divides 41230 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1031, 2062, 4124, 5155, 8248, 10310, 20620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41230 and 41240. The biggest common factor number is the GCF number.
So the greatest common factor 41230 and 41240 is 10.

Also check out the Least Common Multiple of 41230 and 41240