Greatest Common Factor of 29013 and 29016

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 29013, 29016 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29013 and 29016 is 3.

GCF(29013,29016) = 3

GCF of 29013 and 29016

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

GCF of:
and

Greatest Common Factor of 29013 and 29016

GCF of 29013 and 29016 is 3

Prime Factorization of 29013


3 29013
19 9671
509 509
1

Prime factors of 29013 are 3,19,509. Prime factorization of 29013 in exponential form is:

29013 = 31×191×5091

Prime Factorization of 29016


2 29016
2 14508
2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 29016 are 2,3,13,31. Prime factorization of 29016 in exponential form is:

29016 = 23×32×131×311

∴ So by taking common prime factors GCF of 29013 and 29016 is 3

Greatest Common Factor of 29013 and 29016 by matching factors method

Factors of 29013

List of positive integer factors of 29013 that divides 29013 without a remainder.

1,3,19,57,509,1527,9671,29013

Factors of 29016

List of positive integer factors of 29016 that divides 29016 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,31,36,39,52,62,72,78,93,104,117,124,156,186,234,248,279,312,372,403,468,558,744,806,936,1116,1209,1612,2232,2418,3224,3627,4836,7254,9672,14508,29016

Greatest Common Factor

We found the factors and prime factorization of 29013 and 29016. The biggest common factor number is the GCF number.
So the greatest common factor 29013 and 29016 is 3.

Also check out the Least Common Multiple of 29013 and 29016

Properties of GCF 29013 and 29016

(i) The GCF of 29013 and 29016 is associative

GCF of 29013 and 29016 = GCF of 29016 and 29013

Related Greatest Common Factor of 29013

Related Greatest Common Factor of 29016

Frequently Asked Questions on GCF of 29013 and 29016

1. What is the GCF of 29013 and 29016?

Answer: GCF of 29013 and 29016 is 3.

2. What are the Factors of 29013?

Answer: Factors of 29013 are 1, 3, 19, 57, 509, 1527, 9671, 29013. There are 8 integers that are factors of 29013. The greatest factor of 29013 is 29013.

3. What are the Factors of 29016?

Answer: Factors of 29016 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 31, 36, 39, 52, 62, 72, 78, 93, 104, 117, 124, 156, 186, 234, 248, 279, 312, 372, 403, 468, 558, 744, 806, 936, 1116, 1209, 1612, 2232, 2418, 3224, 3627, 4836, 7254, 9672, 14508, 29016. There are 48 integers that are factors of 29016. The greatest factor of 29016 is 29016.

4. How to Find the GCF of 29013 and 29016?

Answer:

Greatest Common Factor of 29013 and 29016 = 3

Step 1: Find the prime factorization of 29013

29013 = 3 x 19 x 509

Step 2: Find the prime factorization of 29016

29016 = 2 x 2 x 2 x 3 x 3 x 13 x 31

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 29013 and 29016 is 3