What is the Greatest Common Factor of 34884 and 34903?

Greatest common factor (GCF) of 34884 and 34903 is 19.

GCF(34884,34903) = 19

We will now calculate the prime factors of 34884 and 34903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34884 and 34903.

How to find the GCF of 34884 and 34903?

We will first find the prime factorization of 34884 and 34903. After we will calculate the factors of 34884 and 34903 and find the biggest common factor number .

Step-1: Prime Factorization of 34884

Prime factors of 34884 are 2, 3, 17, 19. Prime factorization of 34884 in exponential form is:

34884 = 2² × 3³ × 17¹ × 19¹

Step-2: Prime Factorization of 34903

Prime factors of 34903 are 11, 19, 167. Prime factorization of 34903 in exponential form is:

34903 = 11¹ × 19¹ × 167¹

Step-3: Factors of 34884

List of positive integer factors of 34884 that divides 34884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 19, 27, 34, 36, 38, 51, 54, 57, 68, 76, 102, 108, 114, 153, 171, 204, 228, 306, 323, 342, 459, 513, 612, 646, 684, 918, 969, 1026, 1292, 1836, 1938, 2052, 2907, 3876, 5814, 8721, 11628, 17442

Step-4: Factors of 34903

List of positive integer factors of 34903 that divides 34884 without a remainder.

1, 11, 19, 167, 209, 1837, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34884 and 34903. The biggest common factor number is the GCF number.
So the greatest common factor 34884 and 34903 is 19.

Also check out the Least Common Multiple of 34884 and 34903