What is the Greatest Common Factor of 65016 and 65030?

Greatest common factor (GCF) of 65016 and 65030 is 14.

GCF(65016,65030) = 14

We will now calculate the prime factors of 65016 and 65030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65016 and 65030.

How to find the GCF of 65016 and 65030?

We will first find the prime factorization of 65016 and 65030. After we will calculate the factors of 65016 and 65030 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 65030

Prime factors of 65030 are 2, 5, 7, 929. Prime factorization of 65030 in exponential form is:

65030 = 2¹ × 5¹ × 7¹ × 929¹

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 65030

List of positive integer factors of 65030 that divides 65016 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 929, 1858, 4645, 6503, 9290, 13006, 32515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65016 and 65030. The biggest common factor number is the GCF number.
So the greatest common factor 65016 and 65030 is 14.

Also check out the Least Common Multiple of 65016 and 65030