What is the Greatest Common Factor of 85296 and 85307?

Greatest common factor (GCF) of 85296 and 85307 is 1.

GCF(85296,85307) = 1

We will now calculate the prime factors of 85296 and 85307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85296 and 85307.

How to find the GCF of 85296 and 85307?

We will first find the prime factorization of 85296 and 85307. After we will calculate the factors of 85296 and 85307 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 85307

Prime factors of 85307 are 23, 3709. Prime factorization of 85307 in exponential form is:

85307 = 23¹ × 3709¹

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 85307

List of positive integer factors of 85307 that divides 85296 without a remainder.

1, 23, 3709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85296 and 85307. The biggest common factor number is the GCF number.
So the greatest common factor 85296 and 85307 is 1.

Also check out the Least Common Multiple of 85296 and 85307