What is the Greatest Common Factor of 96785 and 96790?

Greatest common factor (GCF) of 96785 and 96790 is 5.

GCF(96785,96790) = 5

We will now calculate the prime factors of 96785 and 96790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96785 and 96790.

How to find the GCF of 96785 and 96790?

We will first find the prime factorization of 96785 and 96790. After we will calculate the factors of 96785 and 96790 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 96790

Prime factors of 96790 are 2, 5, 9679. Prime factorization of 96790 in exponential form is:

96790 = 2¹ × 5¹ × 9679¹

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 96790

List of positive integer factors of 96790 that divides 96785 without a remainder.

1, 2, 5, 10, 9679, 19358, 48395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96785 and 96790. The biggest common factor number is the GCF number.
So the greatest common factor 96785 and 96790 is 5.

Also check out the Least Common Multiple of 96785 and 96790