What is the Greatest Common Factor of 85044 and 85056?

Greatest common factor (GCF) of 85044 and 85056 is 12.

GCF(85044,85056) = 12

We will now calculate the prime factors of 85044 and 85056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85044 and 85056.

How to find the GCF of 85044 and 85056?

We will first find the prime factorization of 85044 and 85056. After we will calculate the factors of 85044 and 85056 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 85056

Prime factors of 85056 are 2, 3, 443. Prime factorization of 85056 in exponential form is:

85056 = 2⁶ × 3¹ × 443¹

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 85056

List of positive integer factors of 85056 that divides 85044 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 443, 886, 1329, 1772, 2658, 3544, 5316, 7088, 10632, 14176, 21264, 28352, 42528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85044 and 85056. The biggest common factor number is the GCF number.
So the greatest common factor 85044 and 85056 is 12.

Also check out the Least Common Multiple of 85044 and 85056