What is the Greatest Common Factor of 41400 and 41410?

Greatest common factor (GCF) of 41400 and 41410 is 10.

GCF(41400,41410) = 10

We will now calculate the prime factors of 41400 and 41410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41400 and 41410.

How to find the GCF of 41400 and 41410?

We will first find the prime factorization of 41400 and 41410. After we will calculate the factors of 41400 and 41410 and find the biggest common factor number .

Step-1: Prime Factorization of 41400

Prime factors of 41400 are 2, 3, 5, 23. Prime factorization of 41400 in exponential form is:

41400 = 2³ × 3² × 5² × 23¹

Step-2: Prime Factorization of 41410

Prime factors of 41410 are 2, 5, 41, 101. Prime factorization of 41410 in exponential form is:

41410 = 2¹ × 5¹ × 41¹ × 101¹

Step-3: Factors of 41400

List of positive integer factors of 41400 that divides 41400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 25, 30, 36, 40, 45, 46, 50, 60, 69, 72, 75, 90, 92, 100, 115, 120, 138, 150, 180, 184, 200, 207, 225, 230, 276, 300, 345, 360, 414, 450, 460, 552, 575, 600, 690, 828, 900, 920, 1035, 1150, 1380, 1656, 1725, 1800, 2070, 2300, 2760, 3450, 4140, 4600, 5175, 6900, 8280, 10350, 13800, 20700

Step-4: Factors of 41410

List of positive integer factors of 41410 that divides 41400 without a remainder.

1, 2, 5, 10, 41, 82, 101, 202, 205, 410, 505, 1010, 4141, 8282, 20705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41400 and 41410. The biggest common factor number is the GCF number.
So the greatest common factor 41400 and 41410 is 10.

Also check out the Least Common Multiple of 41400 and 41410