Greatest Common Factor of 8928 and 8929

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 8928, 8929 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8928 and 8929 is 1.

GCF(8928,8929) = 1

GCF of 8928 and 8929

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

GCF of:
and

Greatest Common Factor of 8928 and 8929

GCF of 8928 and 8929 is 1

Prime Factorization of 8928


2 8928
2 4464
2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 8928 are 2,3,31. Prime factorization of 8928 in exponential form is:

8928 = 25×32×311

Prime Factorization of 8929


8929 8929
1

Prime factors of 8929 are 8929. Prime factorization of 8929 in exponential form is:

8929 = 89291

∴ So by taking common prime factors GCF of 8928 and 8929 is 1

Greatest Common Factor of 8928 and 8929 by matching factors method

Factors of 8928

List of positive integer factors of 8928 that divides 8928 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,32,36,48,62,72,93,96,124,144,186,248,279,288,372,496,558,744,992,1116,1488,2232,2976,4464,8928

Factors of 8929

List of positive integer factors of 8929 that divides 8929 without a remainder.

1,8929

Greatest Common Factor

We found the factors and prime factorization of 8928 and 8929. The biggest common factor number is the GCF number.
So the greatest common factor 8928 and 8929 is 1.

Also check out the Least Common Multiple of 8928 and 8929

Properties of GCF 8928 and 8929

(i) The GCF of 8928 and 8929 is associative

GCF of 8928 and 8929 = GCF of 8929 and 8928

Related Greatest Common Factor of 8928

Related Greatest Common Factor of 8929

Frequently Asked Questions on GCF of 8928 and 8929

1. What is the GCF of 8928 and 8929?

Answer: GCF of 8928 and 8929 is 1.

2. What are the Factors of 8928?

Answer: Factors of 8928 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464, 8928. There are 36 integers that are factors of 8928. The greatest factor of 8928 is 8928.

3. What are the Factors of 8929?

Answer: Factors of 8929 are 1, 8929. There are 2 integers that are factors of 8929. The greatest factor of 8929 is 8929.

4. How to Find the GCF of 8928 and 8929?

Answer:

Greatest Common Factor of 8928 and 8929 = 1

Step 1: Find the prime factorization of 8928

8928 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 8929

8929 = 8929

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8928 and 8929 is 1