What is the Greatest Common Factor of 85524 and 85536?

Greatest common factor (GCF) of 85524 and 85536 is 12.

GCF(85524,85536) = 12

We will now calculate the prime factors of 85524 and 85536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85524 and 85536.

How to find the GCF of 85524 and 85536?

We will first find the prime factorization of 85524 and 85536. After we will calculate the factors of 85524 and 85536 and find the biggest common factor number .

Step-1: Prime Factorization of 85524

Prime factors of 85524 are 2, 3, 7127. Prime factorization of 85524 in exponential form is:

85524 = 2² × 3¹ × 7127¹

Step-2: Prime Factorization of 85536

Prime factors of 85536 are 2, 3, 11. Prime factorization of 85536 in exponential form is:

85536 = 2⁵ × 3⁵ × 11¹

Step-3: Factors of 85524

List of positive integer factors of 85524 that divides 85524 without a remainder.

1, 2, 3, 4, 6, 12, 7127, 14254, 21381, 28508, 42762

Step-4: Factors of 85536

List of positive integer factors of 85536 that divides 85524 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 198, 216, 243, 264, 288, 297, 324, 352, 396, 432, 486, 528, 594, 648, 792, 864, 891, 972, 1056, 1188, 1296, 1584, 1782, 1944, 2376, 2592, 2673, 3168, 3564, 3888, 4752, 5346, 7128, 7776, 9504, 10692, 14256, 21384, 28512, 42768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85524 and 85536. The biggest common factor number is the GCF number.
So the greatest common factor 85524 and 85536 is 12.

Also check out the Least Common Multiple of 85524 and 85536