Greatest Common Factor of 9902 and 9906

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 9902, 9906 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9902 and 9906 is 2.

GCF(9902,9906) = 2

GCF of 9902 and 9906

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

GCF of:
and

Greatest Common Factor of 9902 and 9906

GCF of 9902 and 9906 is 2

Prime Factorization of 9902


2 9902
4951 4951
1

Prime factors of 9902 are 2,4951. Prime factorization of 9902 in exponential form is:

9902 = 21×49511

Prime Factorization of 9906


2 9906
3 4953
13 1651
127 127
1

Prime factors of 9906 are 2,3,13,127. Prime factorization of 9906 in exponential form is:

9906 = 21×31×131×1271

∴ So by taking common prime factors GCF of 9902 and 9906 is 2

Greatest Common Factor of 9902 and 9906 by matching factors method

Factors of 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1,2,4951,9902

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Greatest Common Factor

We found the factors and prime factorization of 9902 and 9906. The biggest common factor number is the GCF number.
So the greatest common factor 9902 and 9906 is 2.

Also check out the Least Common Multiple of 9902 and 9906

Properties of GCF 9902 and 9906

(i) The GCF of 9902 and 9906 is associative

GCF of 9902 and 9906 = GCF of 9906 and 9902

Related Greatest Common Factor of 9902

Related Greatest Common Factor of 9906

Frequently Asked Questions on GCF of 9902 and 9906

1. What is the GCF of 9902 and 9906?

Answer: GCF of 9902 and 9906 is 2.

2. What are the Factors of 9902?

Answer: Factors of 9902 are 1, 2, 4951, 9902. There are 4 integers that are factors of 9902. The greatest factor of 9902 is 9902.

3. What are the Factors of 9906?

Answer: Factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906. There are 16 integers that are factors of 9906. The greatest factor of 9906 is 9906.

4. How to Find the GCF of 9902 and 9906?

Answer:

Greatest Common Factor of 9902 and 9906 = 2

Step 1: Find the prime factorization of 9902

9902 = 2 x 4951

Step 2: Find the prime factorization of 9906

9906 = 2 x 3 x 13 x 127

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 9902 and 9906 is 2