What is the Greatest Common Factor of 782 and 792?

Greatest common factor (GCF) of 782 and 792 is 2.

GCF(782,792) = 2

We will now calculate the prime factors of 782 and 792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 782 and 792.

How to find the GCF of 782 and 792?

We will first find the prime factorization of 782 and 792. After we will calculate the factors of 782 and 792 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 792

Prime factors of 792 are 2, 3, 11. Prime factorization of 792 in exponential form is:

792 = 2³ × 3² × 11¹

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 792

List of positive integer factors of 792 that divides 782 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 782 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 792 is 2.

Also check out the Least Common Multiple of 782 and 792