Greatest Common Factor of 65016 and 65023

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 65016, 65023 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 65016 and 65023 is 7.

GCF(65016,65023) = 7

GCF of 65016 and 65023

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

GCF of:
and

Greatest Common Factor of 65016 and 65023

GCF of 65016 and 65023 is 7

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

Prime Factorization of 65023


7 65023
7 9289
1327 1327
1

Prime factors of 65023 are 7,1327. Prime factorization of 65023 in exponential form is:

65023 = 72×13271

∴ So by taking common prime factors GCF of 65016 and 65023 is 7

Greatest Common Factor of 65016 and 65023 by matching factors method

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

Factors of 65023

List of positive integer factors of 65023 that divides 65023 without a remainder.

1,7,49,1327,9289,65023

Greatest Common Factor

We found the factors and prime factorization of 65016 and 65023. The biggest common factor number is the GCF number.
So the greatest common factor 65016 and 65023 is 7.

Also check out the Least Common Multiple of 65016 and 65023

Properties of GCF 65016 and 65023

(i) The GCF of 65016 and 65023 is associative

GCF of 65016 and 65023 = GCF of 65023 and 65016

Related Greatest Common Factor of 65016

Related Greatest Common Factor of 65023

Frequently Asked Questions on GCF of 65016 and 65023

1. What is the GCF of 65016 and 65023?

Answer: GCF of 65016 and 65023 is 7.

2. 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.

3. What are the Factors of 65023?

Answer: Factors of 65023 are 1, 7, 49, 1327, 9289, 65023. There are 6 integers that are factors of 65023. The greatest factor of 65023 is 65023.

4. How to Find the GCF of 65016 and 65023?

Answer:

Greatest Common Factor of 65016 and 65023 = 7

Step 1: Find the prime factorization of 65016

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

Step 2: Find the prime factorization of 65023

65023 = 7 x 7 x 1327

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

GCF = 7

Step 4: Therefore, the greatest common factor of 65016 and 65023 is 7