Greatest Common Factor of 52904 and 52912

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 52904, 52912 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 52904 and 52912 is 8.

GCF(52904,52912) = 8

GCF of 52904 and 52912

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

GCF of:
and

Greatest Common Factor of 52904 and 52912

GCF of 52904 and 52912 is 8

Prime Factorization of 52904


2 52904
2 26452
2 13226
17 6613
389 389
1

Prime factors of 52904 are 2,17,389. Prime factorization of 52904 in exponential form is:

52904 = 23×171×3891

Prime Factorization of 52912


2 52912
2 26456
2 13228
2 6614
3307 3307
1

Prime factors of 52912 are 2,3307. Prime factorization of 52912 in exponential form is:

52912 = 24×33071

∴ So by taking common prime factors GCF of 52904 and 52912 is 8

Greatest Common Factor of 52904 and 52912 by matching factors method

Factors of 52904

List of positive integer factors of 52904 that divides 52904 without a remainder.

1,2,4,8,17,34,68,136,389,778,1556,3112,6613,13226,26452,52904

Factors of 52912

List of positive integer factors of 52912 that divides 52912 without a remainder.

1,2,4,8,16,3307,6614,13228,26456,52912

Greatest Common Factor

We found the factors and prime factorization of 52904 and 52912. The biggest common factor number is the GCF number.
So the greatest common factor 52904 and 52912 is 8.

Also check out the Least Common Multiple of 52904 and 52912

Properties of GCF 52904 and 52912

(i) The GCF of 52904 and 52912 is associative

GCF of 52904 and 52912 = GCF of 52912 and 52904

Related Greatest Common Factor of 52904

Related Greatest Common Factor of 52912

Frequently Asked Questions on GCF of 52904 and 52912

1. What is the GCF of 52904 and 52912?

Answer: GCF of 52904 and 52912 is 8.

2. What are the Factors of 52904?

Answer: Factors of 52904 are 1, 2, 4, 8, 17, 34, 68, 136, 389, 778, 1556, 3112, 6613, 13226, 26452, 52904. There are 16 integers that are factors of 52904. The greatest factor of 52904 is 52904.

3. What are the Factors of 52912?

Answer: Factors of 52912 are 1, 2, 4, 8, 16, 3307, 6614, 13228, 26456, 52912. There are 10 integers that are factors of 52912. The greatest factor of 52912 is 52912.

4. How to Find the GCF of 52904 and 52912?

Answer:

Greatest Common Factor of 52904 and 52912 = 8

Step 1: Find the prime factorization of 52904

52904 = 2 x 2 x 2 x 17 x 389

Step 2: Find the prime factorization of 52912

52912 = 2 x 2 x 2 x 2 x 3307

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 52904 and 52912 is 8