What is the Greatest Common Factor of 84400 and 84410?

Greatest common factor (GCF) of 84400 and 84410 is 10.

GCF(84400,84410) = 10

We will now calculate the prime factors of 84400 and 84410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84400 and 84410.

How to find the GCF of 84400 and 84410?

We will first find the prime factorization of 84400 and 84410. After we will calculate the factors of 84400 and 84410 and find the biggest common factor number .

Step-1: Prime Factorization of 84400

Prime factors of 84400 are 2, 5, 211. Prime factorization of 84400 in exponential form is:

84400 = 2⁴ × 5² × 211¹

Step-2: Prime Factorization of 84410

Prime factors of 84410 are 2, 5, 23, 367. Prime factorization of 84410 in exponential form is:

84410 = 2¹ × 5¹ × 23¹ × 367¹

Step-3: Factors of 84400

List of positive integer factors of 84400 that divides 84400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 211, 400, 422, 844, 1055, 1688, 2110, 3376, 4220, 5275, 8440, 10550, 16880, 21100, 42200

Step-4: Factors of 84410

List of positive integer factors of 84410 that divides 84400 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 367, 734, 1835, 3670, 8441, 16882, 42205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84400 and 84410. The biggest common factor number is the GCF number.
So the greatest common factor 84400 and 84410 is 10.

Also check out the Least Common Multiple of 84400 and 84410