What is the Greatest Common Factor of 84444 and 84460?

Greatest common factor (GCF) of 84444 and 84460 is 4.

GCF(84444,84460) = 4

We will now calculate the prime factors of 84444 and 84460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84444 and 84460.

How to find the GCF of 84444 and 84460?

We will first find the prime factorization of 84444 and 84460. After we will calculate the factors of 84444 and 84460 and find the biggest common factor number .

Step-1: Prime Factorization of 84444

Prime factors of 84444 are 2, 3, 31, 227. Prime factorization of 84444 in exponential form is:

84444 = 2² × 3¹ × 31¹ × 227¹

Step-2: Prime Factorization of 84460

Prime factors of 84460 are 2, 5, 41, 103. Prime factorization of 84460 in exponential form is:

84460 = 2² × 5¹ × 41¹ × 103¹

Step-3: Factors of 84444

List of positive integer factors of 84444 that divides 84444 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 227, 372, 454, 681, 908, 1362, 2724, 7037, 14074, 21111, 28148, 42222

Step-4: Factors of 84460

List of positive integer factors of 84460 that divides 84444 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 103, 164, 205, 206, 410, 412, 515, 820, 1030, 2060, 4223, 8446, 16892, 21115, 42230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84444 and 84460. The biggest common factor number is the GCF number.
So the greatest common factor 84444 and 84460 is 4.

Also check out the Least Common Multiple of 84444 and 84460