What is the Greatest Common Factor of 65484 and 65496?

Greatest common factor (GCF) of 65484 and 65496 is 12.

GCF(65484,65496) = 12

We will now calculate the prime factors of 65484 and 65496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65484 and 65496.

How to find the GCF of 65484 and 65496?

We will first find the prime factorization of 65484 and 65496. After we will calculate the factors of 65484 and 65496 and find the biggest common factor number .

Step-1: Prime Factorization of 65484

Prime factors of 65484 are 2, 3, 17, 107. Prime factorization of 65484 in exponential form is:

65484 = 2² × 3² × 17¹ × 107¹

Step-2: Prime Factorization of 65496

Prime factors of 65496 are 2, 3, 2729. Prime factorization of 65496 in exponential form is:

65496 = 2³ × 3¹ × 2729¹

Step-3: Factors of 65484

List of positive integer factors of 65484 that divides 65484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 107, 153, 204, 214, 306, 321, 428, 612, 642, 963, 1284, 1819, 1926, 3638, 3852, 5457, 7276, 10914, 16371, 21828, 32742

Step-4: Factors of 65496

List of positive integer factors of 65496 that divides 65484 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2729, 5458, 8187, 10916, 16374, 21832, 32748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65484 and 65496. The biggest common factor number is the GCF number.
So the greatest common factor 65484 and 65496 is 12.

Also check out the Least Common Multiple of 65484 and 65496