What is the Greatest Common Factor of 85784 and 85797?

Greatest common factor (GCF) of 85784 and 85797 is 1.

GCF(85784,85797) = 1

We will now calculate the prime factors of 85784 and 85797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85784 and 85797.

How to find the GCF of 85784 and 85797?

We will first find the prime factorization of 85784 and 85797. After we will calculate the factors of 85784 and 85797 and find the biggest common factor number .

Step-1: Prime Factorization of 85784

Prime factors of 85784 are 2, 10723. Prime factorization of 85784 in exponential form is:

85784 = 2³ × 10723¹

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 85784

List of positive integer factors of 85784 that divides 85784 without a remainder.

1, 2, 4, 8, 10723, 21446, 42892

Step-4: Factors of 85797

List of positive integer factors of 85797 that divides 85784 without a remainder.

1, 3, 9, 9533, 28599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85784 and 85797. The biggest common factor number is the GCF number.
So the greatest common factor 85784 and 85797 is 1.

Also check out the Least Common Multiple of 85784 and 85797