What is the Greatest Common Factor of 84440 and 84444?

Greatest common factor (GCF) of 84440 and 84444 is 4.

GCF(84440,84444) = 4

We will now calculate the prime factors of 84440 and 84444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84440 and 84444.

How to find the GCF of 84440 and 84444?

We will first find the prime factorization of 84440 and 84444. After we will calculate the factors of 84440 and 84444 and find the biggest common factor number .

Step-1: Prime Factorization of 84440

Prime factors of 84440 are 2, 5, 2111. Prime factorization of 84440 in exponential form is:

84440 = 2³ × 5¹ × 2111¹

Step-2: 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-3: Factors of 84440

List of positive integer factors of 84440 that divides 84440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2111, 4222, 8444, 10555, 16888, 21110, 42220

Step-4: Factors of 84444

List of positive integer factors of 84444 that divides 84440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84440 and 84444. The biggest common factor number is the GCF number.
So the greatest common factor 84440 and 84444 is 4.

Also check out the Least Common Multiple of 84440 and 84444