What is the Greatest Common Factor of 84270 and 84289?

Greatest common factor (GCF) of 84270 and 84289 is 1.

GCF(84270,84289) = 1

We will now calculate the prime factors of 84270 and 84289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84270 and 84289.

How to find the GCF of 84270 and 84289?

We will first find the prime factorization of 84270 and 84289. After we will calculate the factors of 84270 and 84289 and find the biggest common factor number .

Step-1: Prime Factorization of 84270

Prime factors of 84270 are 2, 3, 5, 53. Prime factorization of 84270 in exponential form is:

84270 = 2¹ × 3¹ × 5¹ × 53²

Step-2: Prime Factorization of 84289

Prime factors of 84289 are 31, 2719. Prime factorization of 84289 in exponential form is:

84289 = 31¹ × 2719¹

Step-3: Factors of 84270

List of positive integer factors of 84270 that divides 84270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590, 2809, 5618, 8427, 14045, 16854, 28090, 42135

Step-4: Factors of 84289

List of positive integer factors of 84289 that divides 84270 without a remainder.

1, 31, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84270 and 84289. The biggest common factor number is the GCF number.
So the greatest common factor 84270 and 84289 is 1.

Also check out the Least Common Multiple of 84270 and 84289