What is the Greatest Common Factor of 84840 and 84854?

Greatest common factor (GCF) of 84840 and 84854 is 14.

GCF(84840,84854) = 14

We will now calculate the prime factors of 84840 and 84854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84840 and 84854.

How to find the GCF of 84840 and 84854?

We will first find the prime factorization of 84840 and 84854. After we will calculate the factors of 84840 and 84854 and find the biggest common factor number .

Step-1: Prime Factorization of 84840

Prime factors of 84840 are 2, 3, 5, 7, 101. Prime factorization of 84840 in exponential form is:

84840 = 2³ × 3¹ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 84854

Prime factors of 84854 are 2, 7, 11, 19, 29. Prime factorization of 84854 in exponential form is:

84854 = 2¹ × 7¹ × 11¹ × 19¹ × 29¹

Step-3: Factors of 84840

List of positive integer factors of 84840 that divides 84840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 101, 105, 120, 140, 168, 202, 210, 280, 303, 404, 420, 505, 606, 707, 808, 840, 1010, 1212, 1414, 1515, 2020, 2121, 2424, 2828, 3030, 3535, 4040, 4242, 5656, 6060, 7070, 8484, 10605, 12120, 14140, 16968, 21210, 28280, 42420

Step-4: Factors of 84854

List of positive integer factors of 84854 that divides 84840 without a remainder.

1, 2, 7, 11, 14, 19, 22, 29, 38, 58, 77, 133, 154, 203, 209, 266, 319, 406, 418, 551, 638, 1102, 1463, 2233, 2926, 3857, 4466, 6061, 7714, 12122, 42427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84840 and 84854. The biggest common factor number is the GCF number.
So the greatest common factor 84840 and 84854 is 14.

Also check out the Least Common Multiple of 84840 and 84854