What is the Greatest Common Factor of 781 and 801?

Greatest common factor (GCF) of 781 and 801 is 1.

GCF(781,801) = 1

We will now calculate the prime factors of 781 and 801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 781 and 801.

How to find the GCF of 781 and 801?

We will first find the prime factorization of 781 and 801. After we will calculate the factors of 781 and 801 and find the biggest common factor number .

Step-1: Prime Factorization of 781

Prime factors of 781 are 11, 71. Prime factorization of 781 in exponential form is:

781 = 11¹ × 71¹

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 781

List of positive integer factors of 781 that divides 781 without a remainder.

1, 11, 71

Step-4: Factors of 801

List of positive integer factors of 801 that divides 781 without a remainder.

1, 3, 9, 89, 267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 781 and 801. The biggest common factor number is the GCF number.
So the greatest common factor 781 and 801 is 1.

Also check out the Least Common Multiple of 781 and 801