What is the Greatest Common Factor of 15774 and 15793?

Greatest common factor (GCF) of 15774 and 15793 is 1.

GCF(15774,15793) = 1

We will now calculate the prime factors of 15774 and 15793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15774 and 15793.

How to find the GCF of 15774 and 15793?

We will first find the prime factorization of 15774 and 15793. After we will calculate the factors of 15774 and 15793 and find the biggest common factor number .

Step-1: Prime Factorization of 15774

Prime factors of 15774 are 2, 3, 11, 239. Prime factorization of 15774 in exponential form is:

15774 = 2¹ × 3¹ × 11¹ × 239¹

Step-2: Prime Factorization of 15793

Prime factors of 15793 are 17, 929. Prime factorization of 15793 in exponential form is:

15793 = 17¹ × 929¹

Step-3: Factors of 15774

List of positive integer factors of 15774 that divides 15774 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 239, 478, 717, 1434, 2629, 5258, 7887

Step-4: Factors of 15793

List of positive integer factors of 15793 that divides 15774 without a remainder.

1, 17, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15774 and 15793. The biggest common factor number is the GCF number.
So the greatest common factor 15774 and 15793 is 1.

Also check out the Least Common Multiple of 15774 and 15793