What is the Greatest Common Factor of 85056 and 85074?

Greatest common factor (GCF) of 85056 and 85074 is 6.

GCF(85056,85074) = 6

We will now calculate the prime factors of 85056 and 85074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85056 and 85074.

How to find the GCF of 85056 and 85074?

We will first find the prime factorization of 85056 and 85074. After we will calculate the factors of 85056 and 85074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85074

Prime factors of 85074 are 2, 3, 11, 1289. Prime factorization of 85074 in exponential form is:

85074 = 2¹ × 3¹ × 11¹ × 1289¹

Step-3: Factors of 85056

List of positive integer factors of 85056 that divides 85056 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

Step-4: Factors of 85074

List of positive integer factors of 85074 that divides 85056 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1289, 2578, 3867, 7734, 14179, 28358, 42537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85056 and 85074. The biggest common factor number is the GCF number.
So the greatest common factor 85056 and 85074 is 6.

Also check out the Least Common Multiple of 85056 and 85074