What is the Greatest Common Factor of 85035 and 85044?

Greatest common factor (GCF) of 85035 and 85044 is 3.

GCF(85035,85044) = 3

We will now calculate the prime factors of 85035 and 85044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85035 and 85044.

How to find the GCF of 85035 and 85044?

We will first find the prime factorization of 85035 and 85044. After we will calculate the factors of 85035 and 85044 and find the biggest common factor number .

Step-1: Prime Factorization of 85035

Prime factors of 85035 are 3, 5, 5669. Prime factorization of 85035 in exponential form is:

85035 = 3¹ × 5¹ × 5669¹

Step-2: 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-3: Factors of 85035

List of positive integer factors of 85035 that divides 85035 without a remainder.

1, 3, 5, 15, 5669, 17007, 28345

Step-4: Factors of 85044

List of positive integer factors of 85044 that divides 85035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85035 and 85044. The biggest common factor number is the GCF number.
So the greatest common factor 85035 and 85044 is 3.

Also check out the Least Common Multiple of 85035 and 85044