What is the Greatest Common Factor of 17784 and 17797?

Greatest common factor (GCF) of 17784 and 17797 is 13.

GCF(17784,17797) = 13

We will now calculate the prime factors of 17784 and 17797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17784 and 17797.

How to find the GCF of 17784 and 17797?

We will first find the prime factorization of 17784 and 17797. After we will calculate the factors of 17784 and 17797 and find the biggest common factor number .

Step-1: Prime Factorization of 17784

Prime factors of 17784 are 2, 3, 13, 19. Prime factorization of 17784 in exponential form is:

17784 = 2³ × 3² × 13¹ × 19¹

Step-2: Prime Factorization of 17797

Prime factors of 17797 are 13, 37. Prime factorization of 17797 in exponential form is:

17797 = 13¹ × 37²

Step-3: Factors of 17784

List of positive integer factors of 17784 that divides 17784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 19, 24, 26, 36, 38, 39, 52, 57, 72, 76, 78, 104, 114, 117, 152, 156, 171, 228, 234, 247, 312, 342, 456, 468, 494, 684, 741, 936, 988, 1368, 1482, 1976, 2223, 2964, 4446, 5928, 8892

Step-4: Factors of 17797

List of positive integer factors of 17797 that divides 17784 without a remainder.

1, 13, 37, 481, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17784 and 17797. The biggest common factor number is the GCF number.
So the greatest common factor 17784 and 17797 is 13.

Also check out the Least Common Multiple of 17784 and 17797