What is the Greatest Common Factor of 41600 and 41610?

Greatest common factor (GCF) of 41600 and 41610 is 10.

GCF(41600,41610) = 10

We will now calculate the prime factors of 41600 and 41610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41600 and 41610.

How to find the GCF of 41600 and 41610?

We will first find the prime factorization of 41600 and 41610. After we will calculate the factors of 41600 and 41610 and find the biggest common factor number .

Step-1: Prime Factorization of 41600

Prime factors of 41600 are 2, 5, 13. Prime factorization of 41600 in exponential form is:

41600 = 2⁷ × 5² × 13¹

Step-2: Prime Factorization of 41610

Prime factors of 41610 are 2, 3, 5, 19, 73. Prime factorization of 41610 in exponential form is:

41610 = 2¹ × 3¹ × 5¹ × 19¹ × 73¹

Step-3: Factors of 41600

List of positive integer factors of 41600 that divides 41600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 128, 130, 160, 200, 208, 260, 320, 325, 400, 416, 520, 640, 650, 800, 832, 1040, 1300, 1600, 1664, 2080, 2600, 3200, 4160, 5200, 8320, 10400, 20800

Step-4: Factors of 41610

List of positive integer factors of 41610 that divides 41600 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 73, 95, 114, 146, 190, 219, 285, 365, 438, 570, 730, 1095, 1387, 2190, 2774, 4161, 6935, 8322, 13870, 20805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41600 and 41610. The biggest common factor number is the GCF number.
So the greatest common factor 41600 and 41610 is 10.

Also check out the Least Common Multiple of 41600 and 41610