What is the Greatest Common Factor of 34870 and 34884?

Greatest common factor (GCF) of 34870 and 34884 is 2.

GCF(34870,34884) = 2

We will now calculate the prime factors of 34870 and 34884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34870 and 34884.

How to find the GCF of 34870 and 34884?

We will first find the prime factorization of 34870 and 34884. After we will calculate the factors of 34870 and 34884 and find the biggest common factor number .

Step-1: Prime Factorization of 34870

Prime factors of 34870 are 2, 5, 11, 317. Prime factorization of 34870 in exponential form is:

34870 = 2¹ × 5¹ × 11¹ × 317¹

Step-2: 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-3: Factors of 34870

List of positive integer factors of 34870 that divides 34870 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 317, 634, 1585, 3170, 3487, 6974, 17435

Step-4: Factors of 34884

List of positive integer factors of 34884 that divides 34870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34870 and 34884. The biggest common factor number is the GCF number.
So the greatest common factor 34870 and 34884 is 2.

Also check out the Least Common Multiple of 34870 and 34884