Greatest Common Factor of 29072 and 29080

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 29072, 29080 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29072 and 29080 is 8.

GCF(29072,29080) = 8

GCF of 29072 and 29080

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

GCF of:
and

Greatest Common Factor of 29072 and 29080

GCF of 29072 and 29080 is 8

Prime Factorization of 29072


2 29072
2 14536
2 7268
2 3634
23 1817
79 79
1

Prime factors of 29072 are 2,23,79. Prime factorization of 29072 in exponential form is:

29072 = 24×231×791

Prime Factorization of 29080


2 29080
2 14540
2 7270
5 3635
727 727
1

Prime factors of 29080 are 2,5,727. Prime factorization of 29080 in exponential form is:

29080 = 23×51×7271

∴ So by taking common prime factors GCF of 29072 and 29080 is 8

Greatest Common Factor of 29072 and 29080 by matching factors method

Factors of 29072

List of positive integer factors of 29072 that divides 29072 without a remainder.

1,2,4,8,16,23,46,79,92,158,184,316,368,632,1264,1817,3634,7268,14536,29072

Factors of 29080

List of positive integer factors of 29080 that divides 29080 without a remainder.

1,2,4,5,8,10,20,40,727,1454,2908,3635,5816,7270,14540,29080

Greatest Common Factor

We found the factors and prime factorization of 29072 and 29080. The biggest common factor number is the GCF number.
So the greatest common factor 29072 and 29080 is 8.

Also check out the Least Common Multiple of 29072 and 29080

Properties of GCF 29072 and 29080

(i) The GCF of 29072 and 29080 is associative

GCF of 29072 and 29080 = GCF of 29080 and 29072

Related Greatest Common Factor of 29072

Related Greatest Common Factor of 29080

Frequently Asked Questions on GCF of 29072 and 29080

1. What is the GCF of 29072 and 29080?

Answer: GCF of 29072 and 29080 is 8.

2. What are the Factors of 29072?

Answer: Factors of 29072 are 1, 2, 4, 8, 16, 23, 46, 79, 92, 158, 184, 316, 368, 632, 1264, 1817, 3634, 7268, 14536, 29072. There are 20 integers that are factors of 29072. The greatest factor of 29072 is 29072.

3. What are the Factors of 29080?

Answer: Factors of 29080 are 1, 2, 4, 5, 8, 10, 20, 40, 727, 1454, 2908, 3635, 5816, 7270, 14540, 29080. There are 16 integers that are factors of 29080. The greatest factor of 29080 is 29080.

4. How to Find the GCF of 29072 and 29080?

Answer:

Greatest Common Factor of 29072 and 29080 = 8

Step 1: Find the prime factorization of 29072

29072 = 2 x 2 x 2 x 2 x 23 x 79

Step 2: Find the prime factorization of 29080

29080 = 2 x 2 x 2 x 5 x 727

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 29072 and 29080 is 8