What is the Greatest Common Factor of 41230 and 41245?

Greatest common factor (GCF) of 41230 and 41245 is 5.

GCF(41230,41245) = 5

We will now calculate the prime factors of 41230 and 41245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41230 and 41245.

How to find the GCF of 41230 and 41245?

We will first find the prime factorization of 41230 and 41245. After we will calculate the factors of 41230 and 41245 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 41245

Prime factors of 41245 are 5, 73, 113. Prime factorization of 41245 in exponential form is:

41245 = 5¹ × 73¹ × 113¹

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 41245

List of positive integer factors of 41245 that divides 41230 without a remainder.

1, 5, 73, 113, 365, 565, 8249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41230 and 41245. The biggest common factor number is the GCF number.
So the greatest common factor 41230 and 41245 is 5.

Also check out the Least Common Multiple of 41230 and 41245