What is the Greatest Common Factor of 84540 and 84555?

Greatest common factor (GCF) of 84540 and 84555 is 15.

GCF(84540,84555) = 15

We will now calculate the prime factors of 84540 and 84555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84540 and 84555.

How to find the GCF of 84540 and 84555?

We will first find the prime factorization of 84540 and 84555. After we will calculate the factors of 84540 and 84555 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84555

Prime factors of 84555 are 3, 5, 1879. Prime factorization of 84555 in exponential form is:

84555 = 3² × 5¹ × 1879¹

Step-3: Factors of 84540

List of positive integer factors of 84540 that divides 84540 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

Step-4: Factors of 84555

List of positive integer factors of 84555 that divides 84540 without a remainder.

1, 3, 5, 9, 15, 45, 1879, 5637, 9395, 16911, 28185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84540 and 84555. The biggest common factor number is the GCF number.
So the greatest common factor 84540 and 84555 is 15.

Also check out the Least Common Multiple of 84540 and 84555