What is the Greatest Common Factor of 65490 and 65508?

Greatest common factor (GCF) of 65490 and 65508 is 6.

GCF(65490,65508) = 6

We will now calculate the prime factors of 65490 and 65508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65490 and 65508.

How to find the GCF of 65490 and 65508?

We will first find the prime factorization of 65490 and 65508. After we will calculate the factors of 65490 and 65508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65508

Prime factors of 65508 are 2, 3, 53, 103. Prime factorization of 65508 in exponential form is:

65508 = 2² × 3¹ × 53¹ × 103¹

Step-3: Factors of 65490

List of positive integer factors of 65490 that divides 65490 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

Step-4: Factors of 65508

List of positive integer factors of 65508 that divides 65490 without a remainder.

1, 2, 3, 4, 6, 12, 53, 103, 106, 159, 206, 212, 309, 318, 412, 618, 636, 1236, 5459, 10918, 16377, 21836, 32754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65490 and 65508. The biggest common factor number is the GCF number.
So the greatest common factor 65490 and 65508 is 6.

Also check out the Least Common Multiple of 65490 and 65508