Greatest Common Factor of 29112 and 29120

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 29112, 29120 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29112 and 29120 is 8.

GCF(29112,29120) = 8

GCF of 29112 and 29120

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

GCF of:
and

Greatest Common Factor of 29112 and 29120

GCF of 29112 and 29120 is 8

Prime Factorization of 29112


2 29112
2 14556
2 7278
3 3639
1213 1213
1

Prime factors of 29112 are 2,3,1213. Prime factorization of 29112 in exponential form is:

29112 = 23×31×12131

Prime Factorization of 29120


2 29120
2 14560
2 7280
2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 29120 are 2,5,7,13. Prime factorization of 29120 in exponential form is:

29120 = 26×51×71×131

∴ So by taking common prime factors GCF of 29112 and 29120 is 8

Greatest Common Factor of 29112 and 29120 by matching factors method

Factors of 29112

List of positive integer factors of 29112 that divides 29112 without a remainder.

1,2,3,4,6,8,12,24,1213,2426,3639,4852,7278,9704,14556,29112

Factors of 29120

List of positive integer factors of 29120 that divides 29120 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,32,35,40,52,56,64,65,70,80,91,104,112,130,140,160,182,208,224,260,280,320,364,416,448,455,520,560,728,832,910,1040,1120,1456,1820,2080,2240,2912,3640,4160,5824,7280,14560,29120

Greatest Common Factor

We found the factors and prime factorization of 29112 and 29120. The biggest common factor number is the GCF number.
So the greatest common factor 29112 and 29120 is 8.

Also check out the Least Common Multiple of 29112 and 29120

Properties of GCF 29112 and 29120

(i) The GCF of 29112 and 29120 is associative

GCF of 29112 and 29120 = GCF of 29120 and 29112

Related Greatest Common Factor of 29112

Related Greatest Common Factor of 29120

Frequently Asked Questions on GCF of 29112 and 29120

1. What is the GCF of 29112 and 29120?

Answer: GCF of 29112 and 29120 is 8.

2. What are the Factors of 29112?

Answer: Factors of 29112 are 1, 2, 3, 4, 6, 8, 12, 24, 1213, 2426, 3639, 4852, 7278, 9704, 14556, 29112. There are 16 integers that are factors of 29112. The greatest factor of 29112 is 29112.

3. What are the Factors of 29120?

Answer: Factors of 29120 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40, 52, 56, 64, 65, 70, 80, 91, 104, 112, 130, 140, 160, 182, 208, 224, 260, 280, 320, 364, 416, 448, 455, 520, 560, 728, 832, 910, 1040, 1120, 1456, 1820, 2080, 2240, 2912, 3640, 4160, 5824, 7280, 14560, 29120. There are 56 integers that are factors of 29120. The greatest factor of 29120 is 29120.

4. How to Find the GCF of 29112 and 29120?

Answer:

Greatest Common Factor of 29112 and 29120 = 8

Step 1: Find the prime factorization of 29112

29112 = 2 x 2 x 2 x 3 x 1213

Step 2: Find the prime factorization of 29120

29120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 29112 and 29120 is 8