What is the Greatest Common Factor of 84534 and 84540?

Greatest common factor (GCF) of 84534 and 84540 is 6.

GCF(84534,84540) = 6

We will now calculate the prime factors of 84534 and 84540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84534 and 84540.

How to find the GCF of 84534 and 84540?

We will first find the prime factorization of 84534 and 84540. After we will calculate the factors of 84534 and 84540 and find the biggest common factor number .

Step-1: Prime Factorization of 84534

Prime factors of 84534 are 2, 3, 73, 193. Prime factorization of 84534 in exponential form is:

84534 = 2¹ × 3¹ × 73¹ × 193¹

Step-2: Prime Factorization of 84540

Prime factors of 84540 are 2, 3, 5, 1409. Prime factorization of 84540 in exponential form is:

84540 = 2² × 3¹ × 5¹ × 1409¹

Step-3: Factors of 84534

List of positive integer factors of 84534 that divides 84534 without a remainder.

1, 2, 3, 6, 73, 146, 193, 219, 386, 438, 579, 1158, 14089, 28178, 42267

Step-4: Factors of 84540

List of positive integer factors of 84540 that divides 84534 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1409, 2818, 4227, 5636, 7045, 8454, 14090, 16908, 21135, 28180, 42270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84534 and 84540. The biggest common factor number is the GCF number.
So the greatest common factor 84534 and 84540 is 6.

Also check out the Least Common Multiple of 84534 and 84540