What is the Greatest Common Factor of 96785 and 96794?

Greatest common factor (GCF) of 96785 and 96794 is 1.

GCF(96785,96794) = 1

We will now calculate the prime factors of 96785 and 96794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96785 and 96794.

How to find the GCF of 96785 and 96794?

We will first find the prime factorization of 96785 and 96794. After we will calculate the factors of 96785 and 96794 and find the biggest common factor number .

Step-1: Prime Factorization of 96785

Prime factors of 96785 are 5, 13, 1489. Prime factorization of 96785 in exponential form is:

96785 = 5¹ × 13¹ × 1489¹

Step-2: Prime Factorization of 96794

Prime factors of 96794 are 2, 48397. Prime factorization of 96794 in exponential form is:

96794 = 2¹ × 48397¹

Step-3: Factors of 96785

List of positive integer factors of 96785 that divides 96785 without a remainder.

1, 5, 13, 65, 1489, 7445, 19357

Step-4: Factors of 96794

List of positive integer factors of 96794 that divides 96785 without a remainder.

1, 2, 48397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96785 and 96794. The biggest common factor number is the GCF number.
So the greatest common factor 96785 and 96794 is 1.

Also check out the Least Common Multiple of 96785 and 96794