What is the Greatest Common Factor of 84574 and 84585?

Greatest common factor (GCF) of 84574 and 84585 is 1.

GCF(84574,84585) = 1

We will now calculate the prime factors of 84574 and 84585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84574 and 84585.

How to find the GCF of 84574 and 84585?

We will first find the prime factorization of 84574 and 84585. After we will calculate the factors of 84574 and 84585 and find the biggest common factor number .

Step-1: Prime Factorization of 84574

Prime factors of 84574 are 2, 7, 863. Prime factorization of 84574 in exponential form is:

84574 = 2¹ × 7² × 863¹

Step-2: Prime Factorization of 84585

Prime factors of 84585 are 3, 5, 5639. Prime factorization of 84585 in exponential form is:

84585 = 3¹ × 5¹ × 5639¹

Step-3: Factors of 84574

List of positive integer factors of 84574 that divides 84574 without a remainder.

1, 2, 7, 14, 49, 98, 863, 1726, 6041, 12082, 42287

Step-4: Factors of 84585

List of positive integer factors of 84585 that divides 84574 without a remainder.

1, 3, 5, 15, 5639, 16917, 28195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84574 and 84585. The biggest common factor number is the GCF number.
So the greatest common factor 84574 and 84585 is 1.

Also check out the Least Common Multiple of 84574 and 84585