What is the Greatest Common Factor of 784 and 792?

Greatest common factor (GCF) of 784 and 792 is 8.

GCF(784,792) = 8

We will now calculate the prime factors of 784 and 792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 784 and 792.

How to find the GCF of 784 and 792?

We will first find the prime factorization of 784 and 792. After we will calculate the factors of 784 and 792 and find the biggest common factor number .

Step-1: Prime Factorization of 784

Prime factors of 784 are 2, 7. Prime factorization of 784 in exponential form is:

784 = 2⁴ × 7²

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 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392

Step-4: Factors of 792

List of positive integer factors of 792 that divides 784 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 784 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 784 and 792 is 8.

Also check out the Least Common Multiple of 784 and 792