What is the Greatest Common Factor of 20400 and 20410?

Greatest common factor (GCF) of 20400 and 20410 is 10.

GCF(20400,20410) = 10

We will now calculate the prime factors of 20400 and 20410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20400 and 20410.

How to find the GCF of 20400 and 20410?

We will first find the prime factorization of 20400 and 20410. After we will calculate the factors of 20400 and 20410 and find the biggest common factor number .

Step-1: Prime Factorization of 20400

Prime factors of 20400 are 2, 3, 5, 17. Prime factorization of 20400 in exponential form is:

20400 = 2⁴ × 3¹ × 5² × 17¹

Step-2: Prime Factorization of 20410

Prime factors of 20410 are 2, 5, 13, 157. Prime factorization of 20410 in exponential form is:

20410 = 2¹ × 5¹ × 13¹ × 157¹

Step-3: Factors of 20400

List of positive integer factors of 20400 that divides 20400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 34, 40, 48, 50, 51, 60, 68, 75, 80, 85, 100, 102, 120, 136, 150, 170, 200, 204, 240, 255, 272, 300, 340, 400, 408, 425, 510, 600, 680, 816, 850, 1020, 1200, 1275, 1360, 1700, 2040, 2550, 3400, 4080, 5100, 6800, 10200

Step-4: Factors of 20410

List of positive integer factors of 20410 that divides 20400 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 157, 314, 785, 1570, 2041, 4082, 10205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20400 and 20410. The biggest common factor number is the GCF number.
So the greatest common factor 20400 and 20410 is 10.

Also check out the Least Common Multiple of 20400 and 20410