What is the Greatest Common Factor of 41792 and 41810?

Greatest common factor (GCF) of 41792 and 41810 is 2.

GCF(41792,41810) = 2

We will now calculate the prime factors of 41792 and 41810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41792 and 41810.

How to find the GCF of 41792 and 41810?

We will first find the prime factorization of 41792 and 41810. After we will calculate the factors of 41792 and 41810 and find the biggest common factor number .

Step-1: Prime Factorization of 41792

Prime factors of 41792 are 2, 653. Prime factorization of 41792 in exponential form is:

41792 = 2⁶ × 653¹

Step-2: 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-3: Factors of 41792

List of positive integer factors of 41792 that divides 41792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 653, 1306, 2612, 5224, 10448, 20896

Step-4: Factors of 41810

List of positive integer factors of 41810 that divides 41792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41792 and 41810. The biggest common factor number is the GCF number.
So the greatest common factor 41792 and 41810 is 2.

Also check out the Least Common Multiple of 41792 and 41810