What is the Greatest Common Factor of 17784 and 17804?

Greatest common factor (GCF) of 17784 and 17804 is 4.

GCF(17784,17804) = 4

We will now calculate the prime factors of 17784 and 17804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17784 and 17804.

How to find the GCF of 17784 and 17804?

We will first find the prime factorization of 17784 and 17804. After we will calculate the factors of 17784 and 17804 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 17804

Prime factors of 17804 are 2, 4451. Prime factorization of 17804 in exponential form is:

17804 = 2² × 4451¹

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 17804

List of positive integer factors of 17804 that divides 17784 without a remainder.

1, 2, 4, 4451, 8902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17784 and 17804. The biggest common factor number is the GCF number.
So the greatest common factor 17784 and 17804 is 4.

Also check out the Least Common Multiple of 17784 and 17804