What is the Greatest Common Factor of 65016 and 65034?

Greatest common factor (GCF) of 65016 and 65034 is 18.

GCF(65016,65034) = 18

We will now calculate the prime factors of 65016 and 65034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65016 and 65034.

How to find the GCF of 65016 and 65034?

We will first find the prime factorization of 65016 and 65034. After we will calculate the factors of 65016 and 65034 and find the biggest common factor number .

Step-1: Prime Factorization of 65016

Prime factors of 65016 are 2, 3, 7, 43. Prime factorization of 65016 in exponential form is:

65016 = 2³ × 3³ × 7¹ × 43¹

Step-2: Prime Factorization of 65034

Prime factors of 65034 are 2, 3, 3613. Prime factorization of 65034 in exponential form is:

65034 = 2¹ × 3² × 3613¹

Step-3: Factors of 65016

List of positive integer factors of 65016 that divides 65016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 43, 54, 56, 63, 72, 84, 86, 108, 126, 129, 168, 172, 189, 216, 252, 258, 301, 344, 378, 387, 504, 516, 602, 756, 774, 903, 1032, 1161, 1204, 1512, 1548, 1806, 2322, 2408, 2709, 3096, 3612, 4644, 5418, 7224, 8127, 9288, 10836, 16254, 21672, 32508

Step-4: Factors of 65034

List of positive integer factors of 65034 that divides 65016 without a remainder.

1, 2, 3, 6, 9, 18, 3613, 7226, 10839, 21678, 32517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65016 and 65034. The biggest common factor number is the GCF number.
So the greatest common factor 65016 and 65034 is 18.

Also check out the Least Common Multiple of 65016 and 65034