What is the Greatest Common Factor of 41110 and 41125?

Greatest common factor (GCF) of 41110 and 41125 is 5.

GCF(41110,41125) = 5

We will now calculate the prime factors of 41110 and 41125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41110 and 41125.

How to find the GCF of 41110 and 41125?

We will first find the prime factorization of 41110 and 41125. After we will calculate the factors of 41110 and 41125 and find the biggest common factor number .

Step-1: Prime Factorization of 41110

Prime factors of 41110 are 2, 5, 4111. Prime factorization of 41110 in exponential form is:

41110 = 2¹ × 5¹ × 4111¹

Step-2: Prime Factorization of 41125

Prime factors of 41125 are 5, 7, 47. Prime factorization of 41125 in exponential form is:

41125 = 5³ × 7¹ × 47¹

Step-3: Factors of 41110

List of positive integer factors of 41110 that divides 41110 without a remainder.

1, 2, 5, 10, 4111, 8222, 20555

Step-4: Factors of 41125

List of positive integer factors of 41125 that divides 41110 without a remainder.

1, 5, 7, 25, 35, 47, 125, 175, 235, 329, 875, 1175, 1645, 5875, 8225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41110 and 41125. The biggest common factor number is the GCF number.
So the greatest common factor 41110 and 41125 is 5.

Also check out the Least Common Multiple of 41110 and 41125