What is the Greatest Common Factor of 93769 and 93782?

Greatest common factor (GCF) of 93769 and 93782 is 13.

GCF(93769,93782) = 13

We will now calculate the prime factors of 93769 and 93782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93769 and 93782.

How to find the GCF of 93769 and 93782?

We will first find the prime factorization of 93769 and 93782. After we will calculate the factors of 93769 and 93782 and find the biggest common factor number .

Step-1: Prime Factorization of 93769

Prime factors of 93769 are 13, 7213. Prime factorization of 93769 in exponential form is:

93769 = 13¹ × 7213¹

Step-2: Prime Factorization of 93782

Prime factors of 93782 are 2, 13, 3607. Prime factorization of 93782 in exponential form is:

93782 = 2¹ × 13¹ × 3607¹

Step-3: Factors of 93769

List of positive integer factors of 93769 that divides 93769 without a remainder.

1, 13, 7213

Step-4: Factors of 93782

List of positive integer factors of 93782 that divides 93769 without a remainder.

1, 2, 13, 26, 3607, 7214, 46891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93769 and 93782. The biggest common factor number is the GCF number.
So the greatest common factor 93769 and 93782 is 13.

Also check out the Least Common Multiple of 93769 and 93782