What is the Greatest Common Factor of 85460 and 85468?

Greatest common factor (GCF) of 85460 and 85468 is 4.

GCF(85460,85468) = 4

We will now calculate the prime factors of 85460 and 85468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85460 and 85468.

How to find the GCF of 85460 and 85468?

We will first find the prime factorization of 85460 and 85468. After we will calculate the factors of 85460 and 85468 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 85468

Prime factors of 85468 are 2, 23, 929. Prime factorization of 85468 in exponential form is:

85468 = 2² × 23¹ × 929¹

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 85468

List of positive integer factors of 85468 that divides 85460 without a remainder.

1, 2, 4, 23, 46, 92, 929, 1858, 3716, 21367, 42734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85460 and 85468. The biggest common factor number is the GCF number.
So the greatest common factor 85460 and 85468 is 4.

Also check out the Least Common Multiple of 85460 and 85468