Greatest Common Factor of 10402 and 10408

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 10402, 10408 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10402 and 10408 is 2.

GCF(10402,10408) = 2

GCF of 10402 and 10408

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

GCF of:
and

Greatest Common Factor of 10402 and 10408

GCF of 10402 and 10408 is 2

Prime Factorization of 10402


2 10402
7 5201
743 743
1

Prime factors of 10402 are 2,7,743. Prime factorization of 10402 in exponential form is:

10402 = 21×71×7431

Prime Factorization of 10408


2 10408
2 5204
2 2602
1301 1301
1

Prime factors of 10408 are 2,1301. Prime factorization of 10408 in exponential form is:

10408 = 23×13011

∴ So by taking common prime factors GCF of 10402 and 10408 is 2

Greatest Common Factor of 10402 and 10408 by matching factors method

Factors of 10402

List of positive integer factors of 10402 that divides 10402 without a remainder.

1,2,7,14,743,1486,5201,10402

Factors of 10408

List of positive integer factors of 10408 that divides 10408 without a remainder.

1,2,4,8,1301,2602,5204,10408

Greatest Common Factor

We found the factors and prime factorization of 10402 and 10408. The biggest common factor number is the GCF number.
So the greatest common factor 10402 and 10408 is 2.

Also check out the Least Common Multiple of 10402 and 10408

Properties of GCF 10402 and 10408

(i) The GCF of 10402 and 10408 is associative

GCF of 10402 and 10408 = GCF of 10408 and 10402

Related Greatest Common Factor of 10402

Related Greatest Common Factor of 10408

Frequently Asked Questions on GCF of 10402 and 10408

1. What is the GCF of 10402 and 10408?

Answer: GCF of 10402 and 10408 is 2.

2. What are the Factors of 10402?

Answer: Factors of 10402 are 1, 2, 7, 14, 743, 1486, 5201, 10402. There are 8 integers that are factors of 10402. The greatest factor of 10402 is 10402.

3. What are the Factors of 10408?

Answer: Factors of 10408 are 1, 2, 4, 8, 1301, 2602, 5204, 10408. There are 8 integers that are factors of 10408. The greatest factor of 10408 is 10408.

4. How to Find the GCF of 10402 and 10408?

Answer:

Greatest Common Factor of 10402 and 10408 = 2

Step 1: Find the prime factorization of 10402

10402 = 2 x 7 x 743

Step 2: Find the prime factorization of 10408

10408 = 2 x 2 x 2 x 1301

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 10402 and 10408 is 2