What is the Greatest Common Factor of 84290 and 84305?

Greatest common factor (GCF) of 84290 and 84305 is 5.

GCF(84290,84305) = 5

We will now calculate the prime factors of 84290 and 84305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84290 and 84305.

How to find the GCF of 84290 and 84305?

We will first find the prime factorization of 84290 and 84305. After we will calculate the factors of 84290 and 84305 and find the biggest common factor number .

Step-1: Prime Factorization of 84290

Prime factors of 84290 are 2, 5, 8429. Prime factorization of 84290 in exponential form is:

84290 = 2¹ × 5¹ × 8429¹

Step-2: Prime Factorization of 84305

Prime factors of 84305 are 5, 13, 1297. Prime factorization of 84305 in exponential form is:

84305 = 5¹ × 13¹ × 1297¹

Step-3: Factors of 84290

List of positive integer factors of 84290 that divides 84290 without a remainder.

1, 2, 5, 10, 8429, 16858, 42145

Step-4: Factors of 84305

List of positive integer factors of 84305 that divides 84290 without a remainder.

1, 5, 13, 65, 1297, 6485, 16861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84290 and 84305. The biggest common factor number is the GCF number.
So the greatest common factor 84290 and 84305 is 5.

Also check out the Least Common Multiple of 84290 and 84305