What is the Greatest Common Factor of 782 and 797?

Greatest common factor (GCF) of 782 and 797 is 1.

GCF(782,797) = 1

We will now calculate the prime factors of 782 and 797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 782 and 797.

How to find the GCF of 782 and 797?

We will first find the prime factorization of 782 and 797. After we will calculate the factors of 782 and 797 and find the biggest common factor number .

Step-1: Prime Factorization of 782

Prime factors of 782 are 2, 17, 23. Prime factorization of 782 in exponential form is:

782 = 2¹ × 17¹ × 23¹

Step-2: Prime Factorization of 797

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 797¹

Step-3: Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391

Step-4: Factors of 797

List of positive integer factors of 797 that divides 782 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 782 and 797. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 797 is 1.

Also check out the Least Common Multiple of 782 and 797