Greatest Common Factor of 7402 and 7406

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 7402, 7406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7402 and 7406 is 2.

GCF(7402,7406) = 2

GCF of 7402 and 7406

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

GCF of:
and

Greatest Common Factor of 7402 and 7406

GCF of 7402 and 7406 is 2

Prime Factorization of 7402


2 7402
3701 3701
1

Prime factors of 7402 are 2,3701. Prime factorization of 7402 in exponential form is:

7402 = 21×37011

Prime Factorization of 7406


2 7406
7 3703
23 529
23 23
1

Prime factors of 7406 are 2,7,23. Prime factorization of 7406 in exponential form is:

7406 = 21×71×232

∴ So by taking common prime factors GCF of 7402 and 7406 is 2

Greatest Common Factor of 7402 and 7406 by matching factors method

Factors of 7402

List of positive integer factors of 7402 that divides 7402 without a remainder.

1,2,3701,7402

Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1,2,7,14,23,46,161,322,529,1058,3703,7406

Greatest Common Factor

We found the factors and prime factorization of 7402 and 7406. The biggest common factor number is the GCF number.
So the greatest common factor 7402 and 7406 is 2.

Also check out the Least Common Multiple of 7402 and 7406

Properties of GCF 7402 and 7406

(i) The GCF of 7402 and 7406 is associative

GCF of 7402 and 7406 = GCF of 7406 and 7402

Related Greatest Common Factor of 7402

Related Greatest Common Factor of 7406

Frequently Asked Questions on GCF of 7402 and 7406

1. What is the GCF of 7402 and 7406?

Answer: GCF of 7402 and 7406 is 2.

2. What are the Factors of 7402?

Answer: Factors of 7402 are 1, 2, 3701, 7402. There are 4 integers that are factors of 7402. The greatest factor of 7402 is 7402.

3. What are the Factors of 7406?

Answer: Factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406. There are 12 integers that are factors of 7406. The greatest factor of 7406 is 7406.

4. How to Find the GCF of 7402 and 7406?

Answer:

Greatest Common Factor of 7402 and 7406 = 2

Step 1: Find the prime factorization of 7402

7402 = 2 x 3701

Step 2: Find the prime factorization of 7406

7406 = 2 x 7 x 23 x 23

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 7402 and 7406 is 2