What is the Greatest Common Factor of 85448 and 85459?

Greatest common factor (GCF) of 85448 and 85459 is 11.

GCF(85448,85459) = 11

We will now calculate the prime factors of 85448 and 85459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85448 and 85459.

How to find the GCF of 85448 and 85459?

We will first find the prime factorization of 85448 and 85459. After we will calculate the factors of 85448 and 85459 and find the biggest common factor number .

Step-1: Prime Factorization of 85448

Prime factors of 85448 are 2, 11, 971. Prime factorization of 85448 in exponential form is:

85448 = 2³ × 11¹ × 971¹

Step-2: Prime Factorization of 85459

Prime factors of 85459 are 11, 17, 457. Prime factorization of 85459 in exponential form is:

85459 = 11¹ × 17¹ × 457¹

Step-3: Factors of 85448

List of positive integer factors of 85448 that divides 85448 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 971, 1942, 3884, 7768, 10681, 21362, 42724

Step-4: Factors of 85459

List of positive integer factors of 85459 that divides 85448 without a remainder.

1, 11, 17, 187, 457, 5027, 7769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85448 and 85459. The biggest common factor number is the GCF number.
So the greatest common factor 85448 and 85459 is 11.

Also check out the Least Common Multiple of 85448 and 85459