What is the Greatest Common Factor of 96772 and 96785?

Greatest common factor (GCF) of 96772 and 96785 is 13.

GCF(96772,96785) = 13

We will now calculate the prime factors of 96772 and 96785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96772 and 96785.

How to find the GCF of 96772 and 96785?

We will first find the prime factorization of 96772 and 96785. After we will calculate the factors of 96772 and 96785 and find the biggest common factor number .

Step-1: Prime Factorization of 96772

Prime factors of 96772 are 2, 13, 1861. Prime factorization of 96772 in exponential form is:

96772 = 2² × 13¹ × 1861¹

Step-2: 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-3: Factors of 96772

List of positive integer factors of 96772 that divides 96772 without a remainder.

1, 2, 4, 13, 26, 52, 1861, 3722, 7444, 24193, 48386

Step-4: Factors of 96785

List of positive integer factors of 96785 that divides 96772 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96772 and 96785. The biggest common factor number is the GCF number.
So the greatest common factor 96772 and 96785 is 13.

Also check out the Least Common Multiple of 96772 and 96785