What is the Greatest Common Factor of 84930 and 84942?

Greatest common factor (GCF) of 84930 and 84942 is 6.

GCF(84930,84942) = 6

We will now calculate the prime factors of 84930 and 84942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84930 and 84942.

How to find the GCF of 84930 and 84942?

We will first find the prime factorization of 84930 and 84942. After we will calculate the factors of 84930 and 84942 and find the biggest common factor number .

Step-1: Prime Factorization of 84930

Prime factors of 84930 are 2, 3, 5, 19, 149. Prime factorization of 84930 in exponential form is:

84930 = 2¹ × 3¹ × 5¹ × 19¹ × 149¹

Step-2: Prime Factorization of 84942

Prime factors of 84942 are 2, 3, 11, 13. Prime factorization of 84942 in exponential form is:

84942 = 2¹ × 3³ × 11² × 13¹

Step-3: Factors of 84930

List of positive integer factors of 84930 that divides 84930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 149, 190, 285, 298, 447, 570, 745, 894, 1490, 2235, 2831, 4470, 5662, 8493, 14155, 16986, 28310, 42465

Step-4: Factors of 84942

List of positive integer factors of 84942 that divides 84930 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 121, 143, 198, 234, 242, 286, 297, 351, 363, 429, 594, 702, 726, 858, 1089, 1287, 1573, 2178, 2574, 3146, 3267, 3861, 4719, 6534, 7722, 9438, 14157, 28314, 42471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84930 and 84942. The biggest common factor number is the GCF number.
So the greatest common factor 84930 and 84942 is 6.

Also check out the Least Common Multiple of 84930 and 84942