What is the Greatest Common Factor of 84942 and 84954?

Greatest common factor (GCF) of 84942 and 84954 is 6.

GCF(84942,84954) = 6

We will now calculate the prime factors of 84942 and 84954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84942 and 84954.

How to find the GCF of 84942 and 84954?

We will first find the prime factorization of 84942 and 84954. After we will calculate the factors of 84942 and 84954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84954

Prime factors of 84954 are 2, 3, 14159. Prime factorization of 84954 in exponential form is:

84954 = 2¹ × 3¹ × 14159¹

Step-3: Factors of 84942

List of positive integer factors of 84942 that divides 84942 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

Step-4: Factors of 84954

List of positive integer factors of 84954 that divides 84942 without a remainder.

1, 2, 3, 6, 14159, 28318, 42477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84942 and 84954. The biggest common factor number is the GCF number.
So the greatest common factor 84942 and 84954 is 6.

Also check out the Least Common Multiple of 84942 and 84954