What is the Greatest Common Factor of 84330 and 84340?

Greatest common factor (GCF) of 84330 and 84340 is 10.

GCF(84330,84340) = 10

We will now calculate the prime factors of 84330 and 84340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84330 and 84340.

How to find the GCF of 84330 and 84340?

We will first find the prime factorization of 84330 and 84340. After we will calculate the factors of 84330 and 84340 and find the biggest common factor number .

Step-1: Prime Factorization of 84330

Prime factors of 84330 are 2, 3, 5, 937. Prime factorization of 84330 in exponential form is:

84330 = 2¹ × 3² × 5¹ × 937¹

Step-2: Prime Factorization of 84340

Prime factors of 84340 are 2, 5, 4217. Prime factorization of 84340 in exponential form is:

84340 = 2² × 5¹ × 4217¹

Step-3: Factors of 84330

List of positive integer factors of 84330 that divides 84330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 937, 1874, 2811, 4685, 5622, 8433, 9370, 14055, 16866, 28110, 42165

Step-4: Factors of 84340

List of positive integer factors of 84340 that divides 84330 without a remainder.

1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84330 and 84340. The biggest common factor number is the GCF number.
So the greatest common factor 84330 and 84340 is 10.

Also check out the Least Common Multiple of 84330 and 84340