What is the Greatest Common Factor of 41810 and 41830?

Greatest common factor (GCF) of 41810 and 41830 is 10.

GCF(41810,41830) = 10

We will now calculate the prime factors of 41810 and 41830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41810 and 41830.

How to find the GCF of 41810 and 41830?

We will first find the prime factorization of 41810 and 41830. After we will calculate the factors of 41810 and 41830 and find the biggest common factor number .

Step-1: Prime Factorization of 41810

Prime factors of 41810 are 2, 5, 37, 113. Prime factorization of 41810 in exponential form is:

41810 = 2¹ × 5¹ × 37¹ × 113¹

Step-2: Prime Factorization of 41830

Prime factors of 41830 are 2, 5, 47, 89. Prime factorization of 41830 in exponential form is:

41830 = 2¹ × 5¹ × 47¹ × 89¹

Step-3: Factors of 41810

List of positive integer factors of 41810 that divides 41810 without a remainder.

1, 2, 5, 10, 37, 74, 113, 185, 226, 370, 565, 1130, 4181, 8362, 20905

Step-4: Factors of 41830

List of positive integer factors of 41830 that divides 41810 without a remainder.

1, 2, 5, 10, 47, 89, 94, 178, 235, 445, 470, 890, 4183, 8366, 20915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41810 and 41830. The biggest common factor number is the GCF number.
So the greatest common factor 41810 and 41830 is 10.

Also check out the Least Common Multiple of 41810 and 41830