What is the Greatest Common Factor of 72909 and 72924?

Greatest common factor (GCF) of 72909 and 72924 is 3.

GCF(72909,72924) = 3

We will now calculate the prime factors of 72909 and 72924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72909 and 72924.

How to find the GCF of 72909 and 72924?

We will first find the prime factorization of 72909 and 72924. After we will calculate the factors of 72909 and 72924 and find the biggest common factor number .

Step-1: Prime Factorization of 72909

Prime factors of 72909 are 3, 8101. Prime factorization of 72909 in exponential form is:

72909 = 3² × 8101¹

Step-2: Prime Factorization of 72924

Prime factors of 72924 are 2, 3, 59, 103. Prime factorization of 72924 in exponential form is:

72924 = 2² × 3¹ × 59¹ × 103¹

Step-3: Factors of 72909

List of positive integer factors of 72909 that divides 72909 without a remainder.

1, 3, 9, 8101, 24303

Step-4: Factors of 72924

List of positive integer factors of 72924 that divides 72909 without a remainder.

1, 2, 3, 4, 6, 12, 59, 103, 118, 177, 206, 236, 309, 354, 412, 618, 708, 1236, 6077, 12154, 18231, 24308, 36462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72909 and 72924. The biggest common factor number is the GCF number.
So the greatest common factor 72909 and 72924 is 3.

Also check out the Least Common Multiple of 72909 and 72924