Greatest Common Factor of 65013 and 65016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 65013, 65016 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 65013 and 65016 is 3.

GCF(65013,65016) = 3

GCF of 65013 and 65016

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 65013 and 65016

GCF of 65013 and 65016 is 3

Prime Factorization of 65013


3 65013
13 21671
1667 1667
1

Prime factors of 65013 are 3,13,1667. Prime factorization of 65013 in exponential form is:

65013 = 31×131×16671

Prime Factorization of 65016


2 65016
2 32508
2 16254
3 8127
3 2709
3 903
7 301
43 43
1

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

65016 = 23×33×71×431

∴ So by taking common prime factors GCF of 65013 and 65016 is 3

Greatest Common Factor of 65013 and 65016 by matching factors method

Factors of 65013

List of positive integer factors of 65013 that divides 65013 without a remainder.

1,3,13,39,1667,5001,21671,65013

Factors of 65016

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

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,43,54,56,63,72,84,86,108,126,129,168,172,189,216,252,258,301,344,378,387,504,516,602,756,774,903,1032,1161,1204,1512,1548,1806,2322,2408,2709,3096,3612,4644,5418,7224,8127,9288,10836,16254,21672,32508,65016

Greatest Common Factor

We found the factors and prime factorization of 65013 and 65016. The biggest common factor number is the GCF number.
So the greatest common factor 65013 and 65016 is 3.

Also check out the Least Common Multiple of 65013 and 65016

Properties of GCF 65013 and 65016

(i) The GCF of 65013 and 65016 is associative

GCF of 65013 and 65016 = GCF of 65016 and 65013

Related Greatest Common Factor of 65013

Related Greatest Common Factor of 65016

Frequently Asked Questions on GCF of 65013 and 65016

1. What is the GCF of 65013 and 65016?

Answer: GCF of 65013 and 65016 is 3.

2. What are the Factors of 65013?

Answer: Factors of 65013 are 1, 3, 13, 39, 1667, 5001, 21671, 65013. There are 8 integers that are factors of 65013. The greatest factor of 65013 is 65013.

3. What are the Factors of 65016?

Answer: Factors of 65016 are 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, 65016. There are 64 integers that are factors of 65016. The greatest factor of 65016 is 65016.

4. How to Find the GCF of 65013 and 65016?

Answer:

Greatest Common Factor of 65013 and 65016 = 3

Step 1: Find the prime factorization of 65013

65013 = 3 x 13 x 1667

Step 2: Find the prime factorization of 65016

65016 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 65013 and 65016 is 3