What is the Greatest Common Factor of 85032 and 85044?

Greatest common factor (GCF) of 85032 and 85044 is 12.

GCF(85032,85044) = 12

We will now calculate the prime factors of 85032 and 85044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85032 and 85044.

How to find the GCF of 85032 and 85044?

We will first find the prime factorization of 85032 and 85044. After we will calculate the factors of 85032 and 85044 and find the biggest common factor number .

Step-1: Prime Factorization of 85032

Prime factors of 85032 are 2, 3, 1181. Prime factorization of 85032 in exponential form is:

85032 = 2³ × 3² × 1181¹

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 85032

List of positive integer factors of 85032 that divides 85032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1181, 2362, 3543, 4724, 7086, 9448, 10629, 14172, 21258, 28344, 42516

Step-4: Factors of 85044

List of positive integer factors of 85044 that divides 85032 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 85032 and 85044. The biggest common factor number is the GCF number.
So the greatest common factor 85032 and 85044 is 12.

Also check out the Least Common Multiple of 85032 and 85044