Greatest Common Factor of 52902 and 52904

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 52902, 52904 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 52902 and 52904 is 2.

GCF(52902,52904) = 2

GCF of 52902 and 52904

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

GCF of:
and

Greatest Common Factor of 52902 and 52904

GCF of 52902 and 52904 is 2

Prime Factorization of 52902


2 52902
3 26451
3 8817
2939 2939
1

Prime factors of 52902 are 2,3,2939. Prime factorization of 52902 in exponential form is:

52902 = 21×32×29391

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

∴ So by taking common prime factors GCF of 52902 and 52904 is 2

Greatest Common Factor of 52902 and 52904 by matching factors method

Factors of 52902

List of positive integer factors of 52902 that divides 52902 without a remainder.

1,2,3,6,9,18,2939,5878,8817,17634,26451,52902

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

Greatest Common Factor

We found the factors and prime factorization of 52902 and 52904. The biggest common factor number is the GCF number.
So the greatest common factor 52902 and 52904 is 2.

Also check out the Least Common Multiple of 52902 and 52904

Properties of GCF 52902 and 52904

(i) The GCF of 52902 and 52904 is associative

GCF of 52902 and 52904 = GCF of 52904 and 52902

Related Greatest Common Factor of 52902

Related Greatest Common Factor of 52904

Frequently Asked Questions on GCF of 52902 and 52904

1. What is the GCF of 52902 and 52904?

Answer: GCF of 52902 and 52904 is 2.

2. What are the Factors of 52902?

Answer: Factors of 52902 are 1, 2, 3, 6, 9, 18, 2939, 5878, 8817, 17634, 26451, 52902. There are 12 integers that are factors of 52902. The greatest factor of 52902 is 52902.

3. 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.

4. How to Find the GCF of 52902 and 52904?

Answer:

Greatest Common Factor of 52902 and 52904 = 2

Step 1: Find the prime factorization of 52902

52902 = 2 x 3 x 3 x 2939

Step 2: Find the prime factorization of 52904

52904 = 2 x 2 x 2 x 17 x 389

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

GCF = 2

Step 4: Therefore, the greatest common factor of 52902 and 52904 is 2