What is the Greatest Common Factor of 84906 and 84924?

Greatest common factor (GCF) of 84906 and 84924 is 18.

GCF(84906,84924) = 18

We will now calculate the prime factors of 84906 and 84924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84906 and 84924.

How to find the GCF of 84906 and 84924?

We will first find the prime factorization of 84906 and 84924. After we will calculate the factors of 84906 and 84924 and find the biggest common factor number .

Step-1: Prime Factorization of 84906

Prime factors of 84906 are 2, 3, 53, 89. Prime factorization of 84906 in exponential form is:

84906 = 2¹ × 3² × 53¹ × 89¹

Step-2: Prime Factorization of 84924

Prime factors of 84924 are 2, 3, 7, 337. Prime factorization of 84924 in exponential form is:

84924 = 2² × 3² × 7¹ × 337¹

Step-3: Factors of 84906

List of positive integer factors of 84906 that divides 84906 without a remainder.

1, 2, 3, 6, 9, 18, 53, 89, 106, 159, 178, 267, 318, 477, 534, 801, 954, 1602, 4717, 9434, 14151, 28302, 42453

Step-4: Factors of 84924

List of positive integer factors of 84924 that divides 84906 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 337, 674, 1011, 1348, 2022, 2359, 3033, 4044, 4718, 6066, 7077, 9436, 12132, 14154, 21231, 28308, 42462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84906 and 84924. The biggest common factor number is the GCF number.
So the greatest common factor 84906 and 84924 is 18.

Also check out the Least Common Multiple of 84906 and 84924