What is the Greatest Common Factor of 85788 and 85797?

Greatest common factor (GCF) of 85788 and 85797 is 9.

GCF(85788,85797) = 9

We will now calculate the prime factors of 85788 and 85797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85788 and 85797.

How to find the GCF of 85788 and 85797?

We will first find the prime factorization of 85788 and 85797. After we will calculate the factors of 85788 and 85797 and find the biggest common factor number .

Step-1: Prime Factorization of 85788

Prime factors of 85788 are 2, 3, 2383. Prime factorization of 85788 in exponential form is:

85788 = 2² × 3² × 2383¹

Step-2: Prime Factorization of 85797

Prime factors of 85797 are 3, 9533. Prime factorization of 85797 in exponential form is:

85797 = 3² × 9533¹

Step-3: Factors of 85788

List of positive integer factors of 85788 that divides 85788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2383, 4766, 7149, 9532, 14298, 21447, 28596, 42894

Step-4: Factors of 85797

List of positive integer factors of 85797 that divides 85788 without a remainder.

1, 3, 9, 9533, 28599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85788 and 85797. The biggest common factor number is the GCF number.
So the greatest common factor 85788 and 85797 is 9.

Also check out the Least Common Multiple of 85788 and 85797