What is the Greatest Common Factor of 84942 and 84953?

Greatest common factor (GCF) of 84942 and 84953 is 11.

GCF(84942,84953) = 11

We will now calculate the prime factors of 84942 and 84953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84942 and 84953.

How to find the GCF of 84942 and 84953?

We will first find the prime factorization of 84942 and 84953. After we will calculate the factors of 84942 and 84953 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 84953

Prime factors of 84953 are 11, 7723. Prime factorization of 84953 in exponential form is:

84953 = 11¹ × 7723¹

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 84953

List of positive integer factors of 84953 that divides 84942 without a remainder.

1, 11, 7723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84942 and 84953. The biggest common factor number is the GCF number.
So the greatest common factor 84942 and 84953 is 11.

Also check out the Least Common Multiple of 84942 and 84953