What is the Greatest Common Factor of 787 and 798?

Greatest common factor (GCF) of 787 and 798 is 1.

GCF(787,798) = 1

We will now calculate the prime factors of 787 and 798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 787 and 798.

How to find the GCF of 787 and 798?

We will first find the prime factorization of 787 and 798. After we will calculate the factors of 787 and 798 and find the biggest common factor number .

Step-1: Prime Factorization of 787

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 787¹

Step-2: Prime Factorization of 798

Prime factors of 798 are 2, 3, 7, 19. Prime factorization of 798 in exponential form is:

798 = 2¹ × 3¹ × 7¹ × 19¹

Step-3: Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

Step-4: Factors of 798

List of positive integer factors of 798 that divides 787 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 787 and 798. The biggest common factor number is the GCF number.
So the greatest common factor 787 and 798 is 1.

Also check out the Least Common Multiple of 787 and 798