Greatest Common Factor of 902 and 904

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 902, 904 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 902 and 904 is 2.

GCF(902,904) = 2

GCF of 902 and 904

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

GCF of:
and

Greatest Common Factor of 902 and 904

GCF of 902 and 904 is 2

Prime Factorization of 902


2 902
11 451
41 41
1

Prime factors of 902 are 2,11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

Prime Factorization of 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

∴ So by taking common prime factors GCF of 902 and 904 is 2

Greatest Common Factor of 902 and 904 by matching factors method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors and prime factorization of 902 and 904. The biggest common factor number is the GCF number.
So the greatest common factor 902 and 904 is 2.

Also check out the Least Common Multiple of 902 and 904

Properties of GCF 902 and 904

(i) The GCF of 902 and 904 is associative

GCF of 902 and 904 = GCF of 904 and 902

Related Greatest Common Factor of 902

Related Greatest Common Factor of 904

Frequently Asked Questions on GCF of 902 and 904

1. What is the GCF of 902 and 904?

Answer: GCF of 902 and 904 is 2.

2. What are the Factors of 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

3. What are the Factors of 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

4. How to Find the GCF of 902 and 904?

Answer:

Greatest Common Factor of 902 and 904 = 2

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

Step 2: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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 902 and 904 is 2