What is the Greatest Common Factor of 85044 and 85059?

Greatest common factor (GCF) of 85044 and 85059 is 3.

GCF(85044,85059) = 3

We will now calculate the prime factors of 85044 and 85059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85044 and 85059.

How to find the GCF of 85044 and 85059?

We will first find the prime factorization of 85044 and 85059. After we will calculate the factors of 85044 and 85059 and find the biggest common factor number .

Step-1: Prime Factorization of 85044

Prime factors of 85044 are 2, 3, 19, 373. Prime factorization of 85044 in exponential form is:

85044 = 2² × 3¹ × 19¹ × 373¹

Step-2: Prime Factorization of 85059

Prime factors of 85059 are 3, 13, 727. Prime factorization of 85059 in exponential form is:

85059 = 3² × 13¹ × 727¹

Step-3: Factors of 85044

List of positive integer factors of 85044 that divides 85044 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 373, 746, 1119, 1492, 2238, 4476, 7087, 14174, 21261, 28348, 42522

Step-4: Factors of 85059

List of positive integer factors of 85059 that divides 85044 without a remainder.

1, 3, 9, 13, 39, 117, 727, 2181, 6543, 9451, 28353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85044 and 85059. The biggest common factor number is the GCF number.
So the greatest common factor 85044 and 85059 is 3.

Also check out the Least Common Multiple of 85044 and 85059