What is the Greatest Common Factor of 85296 and 85308?

Greatest common factor (GCF) of 85296 and 85308 is 12.

GCF(85296,85308) = 12

We will now calculate the prime factors of 85296 and 85308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85296 and 85308.

How to find the GCF of 85296 and 85308?

We will first find the prime factorization of 85296 and 85308. After we will calculate the factors of 85296 and 85308 and find the biggest common factor number .

Step-1: Prime Factorization of 85296

Prime factors of 85296 are 2, 3, 1777. Prime factorization of 85296 in exponential form is:

85296 = 2⁴ × 3¹ × 1777¹

Step-2: Prime Factorization of 85308

Prime factors of 85308 are 2, 3, 7109. Prime factorization of 85308 in exponential form is:

85308 = 2² × 3¹ × 7109¹

Step-3: Factors of 85296

List of positive integer factors of 85296 that divides 85296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1777, 3554, 5331, 7108, 10662, 14216, 21324, 28432, 42648

Step-4: Factors of 85308

List of positive integer factors of 85308 that divides 85296 without a remainder.

1, 2, 3, 4, 6, 12, 7109, 14218, 21327, 28436, 42654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85296 and 85308. The biggest common factor number is the GCF number.
So the greatest common factor 85296 and 85308 is 12.

Also check out the Least Common Multiple of 85296 and 85308