What is the Greatest Common Factor of 84390 and 84400?

Greatest common factor (GCF) of 84390 and 84400 is 10.

GCF(84390,84400) = 10

We will now calculate the prime factors of 84390 and 84400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84390 and 84400.

How to find the GCF of 84390 and 84400?

We will first find the prime factorization of 84390 and 84400. After we will calculate the factors of 84390 and 84400 and find the biggest common factor number .

Step-1: Prime Factorization of 84390

Prime factors of 84390 are 2, 3, 5, 29, 97. Prime factorization of 84390 in exponential form is:

84390 = 2¹ × 3¹ × 5¹ × 29¹ × 97¹

Step-2: 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-3: Factors of 84390

List of positive integer factors of 84390 that divides 84390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 97, 145, 174, 194, 290, 291, 435, 485, 582, 870, 970, 1455, 2813, 2910, 5626, 8439, 14065, 16878, 28130, 42195

Step-4: Factors of 84400

List of positive integer factors of 84400 that divides 84390 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84390 and 84400. The biggest common factor number is the GCF number.
So the greatest common factor 84390 and 84400 is 10.

Also check out the Least Common Multiple of 84390 and 84400