What is the Greatest Common Factor of 85449 and 85467?

Greatest common factor (GCF) of 85449 and 85467 is 3.

GCF(85449,85467) = 3

We will now calculate the prime factors of 85449 and 85467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85449 and 85467.

How to find the GCF of 85449 and 85467?

We will first find the prime factorization of 85449 and 85467. After we will calculate the factors of 85449 and 85467 and find the biggest common factor number .

Step-1: Prime Factorization of 85449

Prime factors of 85449 are 3, 7, 13, 313. Prime factorization of 85449 in exponential form is:

85449 = 3¹ × 7¹ × 13¹ × 313¹

Step-2: Prime Factorization of 85467

Prime factors of 85467 are 3, 31, 919. Prime factorization of 85467 in exponential form is:

85467 = 3¹ × 31¹ × 919¹

Step-3: Factors of 85449

List of positive integer factors of 85449 that divides 85449 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 313, 939, 2191, 4069, 6573, 12207, 28483

Step-4: Factors of 85467

List of positive integer factors of 85467 that divides 85449 without a remainder.

1, 3, 31, 93, 919, 2757, 28489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85449 and 85467. The biggest common factor number is the GCF number.
So the greatest common factor 85449 and 85467 is 3.

Also check out the Least Common Multiple of 85449 and 85467