What is the Greatest Common Factor of 85460 and 85474?

Greatest common factor (GCF) of 85460 and 85474 is 2.

GCF(85460,85474) = 2

We will now calculate the prime factors of 85460 and 85474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85460 and 85474.

How to find the GCF of 85460 and 85474?

We will first find the prime factorization of 85460 and 85474. After we will calculate the factors of 85460 and 85474 and find the biggest common factor number .

Step-1: Prime Factorization of 85460

Prime factors of 85460 are 2, 5, 4273. Prime factorization of 85460 in exponential form is:

85460 = 2² × 5¹ × 4273¹

Step-2: Prime Factorization of 85474

Prime factors of 85474 are 2, 42737. Prime factorization of 85474 in exponential form is:

85474 = 2¹ × 42737¹

Step-3: Factors of 85460

List of positive integer factors of 85460 that divides 85460 without a remainder.

1, 2, 4, 5, 10, 20, 4273, 8546, 17092, 21365, 42730

Step-4: Factors of 85474

List of positive integer factors of 85474 that divides 85460 without a remainder.

1, 2, 42737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85460 and 85474. The biggest common factor number is the GCF number.
So the greatest common factor 85460 and 85474 is 2.

Also check out the Least Common Multiple of 85460 and 85474