What is the Greatest Common Factor of 84492 and 84510?

Greatest common factor (GCF) of 84492 and 84510 is 18.

GCF(84492,84510) = 18

We will now calculate the prime factors of 84492 and 84510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84492 and 84510.

How to find the GCF of 84492 and 84510?

We will first find the prime factorization of 84492 and 84510. After we will calculate the factors of 84492 and 84510 and find the biggest common factor number .

Step-1: Prime Factorization of 84492

Prime factors of 84492 are 2, 3, 2347. Prime factorization of 84492 in exponential form is:

84492 = 2² × 3² × 2347¹

Step-2: Prime Factorization of 84510

Prime factors of 84510 are 2, 3, 5, 313. Prime factorization of 84510 in exponential form is:

84510 = 2¹ × 3³ × 5¹ × 313¹

Step-3: Factors of 84492

List of positive integer factors of 84492 that divides 84492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2347, 4694, 7041, 9388, 14082, 21123, 28164, 42246

Step-4: Factors of 84510

List of positive integer factors of 84510 that divides 84492 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 313, 626, 939, 1565, 1878, 2817, 3130, 4695, 5634, 8451, 9390, 14085, 16902, 28170, 42255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84492 and 84510. The biggest common factor number is the GCF number.
So the greatest common factor 84492 and 84510 is 18.

Also check out the Least Common Multiple of 84492 and 84510