What is the Greatest Common Factor of 84909 and 84924?

Greatest common factor (GCF) of 84909 and 84924 is 3.

GCF(84909,84924) = 3

We will now calculate the prime factors of 84909 and 84924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84909 and 84924.

How to find the GCF of 84909 and 84924?

We will first find the prime factorization of 84909 and 84924. After we will calculate the factors of 84909 and 84924 and find the biggest common factor number .

Step-1: Prime Factorization of 84909

Prime factors of 84909 are 3, 11, 31, 83. Prime factorization of 84909 in exponential form is:

84909 = 3¹ × 11¹ × 31¹ × 83¹

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 84909

List of positive integer factors of 84909 that divides 84909 without a remainder.

1, 3, 11, 31, 33, 83, 93, 249, 341, 913, 1023, 2573, 2739, 7719, 28303

Step-4: Factors of 84924

List of positive integer factors of 84924 that divides 84909 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 84909 and 84924. The biggest common factor number is the GCF number.
So the greatest common factor 84909 and 84924 is 3.

Also check out the Least Common Multiple of 84909 and 84924