What is the Greatest Common Factor of 34884 and 34902?

Greatest common factor (GCF) of 34884 and 34902 is 18.

GCF(34884,34902) = 18

We will now calculate the prime factors of 34884 and 34902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34884 and 34902.

How to find the GCF of 34884 and 34902?

We will first find the prime factorization of 34884 and 34902. After we will calculate the factors of 34884 and 34902 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 34902

Prime factors of 34902 are 2, 3, 7, 277. Prime factorization of 34902 in exponential form is:

34902 = 2¹ × 3² × 7¹ × 277¹

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 34902

List of positive integer factors of 34902 that divides 34884 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 277, 554, 831, 1662, 1939, 2493, 3878, 4986, 5817, 11634, 17451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34884 and 34902. The biggest common factor number is the GCF number.
So the greatest common factor 34884 and 34902 is 18.

Also check out the Least Common Multiple of 34884 and 34902