What is the Greatest Common Factor of 782 and 801?

Greatest common factor (GCF) of 782 and 801 is 1.

GCF(782,801) = 1

We will now calculate the prime factors of 782 and 801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 782 and 801.

How to find the GCF of 782 and 801?

We will first find the prime factorization of 782 and 801. After we will calculate the factors of 782 and 801 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 801

Prime factors of 801 are 3, 89. Prime factorization of 801 in exponential form is:

801 = 3² × 89¹

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 801

List of positive integer factors of 801 that divides 782 without a remainder.

1, 3, 9, 89, 267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 782 and 801. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 801 is 1.

Also check out the Least Common Multiple of 782 and 801