What is the Greatest Common Factor of 65484 and 65490?

Greatest common factor (GCF) of 65484 and 65490 is 6.

GCF(65484,65490) = 6

We will now calculate the prime factors of 65484 and 65490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65484 and 65490.

How to find the GCF of 65484 and 65490?

We will first find the prime factorization of 65484 and 65490. After we will calculate the factors of 65484 and 65490 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 65490

Prime factors of 65490 are 2, 3, 5, 37, 59. Prime factorization of 65490 in exponential form is:

65490 = 2¹ × 3¹ × 5¹ × 37¹ × 59¹

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 65490

List of positive integer factors of 65490 that divides 65484 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 59, 74, 111, 118, 177, 185, 222, 295, 354, 370, 555, 590, 885, 1110, 1770, 2183, 4366, 6549, 10915, 13098, 21830, 32745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65484 and 65490. The biggest common factor number is the GCF number.
So the greatest common factor 65484 and 65490 is 6.

Also check out the Least Common Multiple of 65484 and 65490