Greatest Common Factor of 7474 and 7482

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 7474, 7482 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7474 and 7482 is 2.

GCF(7474,7482) = 2

GCF of 7474 and 7482

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

GCF of:
and

Greatest Common Factor of 7474 and 7482

GCF of 7474 and 7482 is 2

Prime Factorization of 7474


2 7474
37 3737
101 101
1

Prime factors of 7474 are 2,37,101. Prime factorization of 7474 in exponential form is:

7474 = 21×371×1011

Prime Factorization of 7482


2 7482
3 3741
29 1247
43 43
1

Prime factors of 7482 are 2,3,29,43. Prime factorization of 7482 in exponential form is:

7482 = 21×31×291×431

∴ So by taking common prime factors GCF of 7474 and 7482 is 2

Greatest Common Factor of 7474 and 7482 by matching factors method

Factors of 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1,2,37,74,101,202,3737,7474

Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482

Greatest Common Factor

We found the factors and prime factorization of 7474 and 7482. The biggest common factor number is the GCF number.
So the greatest common factor 7474 and 7482 is 2.

Also check out the Least Common Multiple of 7474 and 7482

Properties of GCF 7474 and 7482

(i) The GCF of 7474 and 7482 is associative

GCF of 7474 and 7482 = GCF of 7482 and 7474

Related Greatest Common Factor of 7474

Related Greatest Common Factor of 7482

Frequently Asked Questions on GCF of 7474 and 7482

1. What is the GCF of 7474 and 7482?

Answer: GCF of 7474 and 7482 is 2.

2. What are the Factors of 7474?

Answer: Factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474. There are 8 integers that are factors of 7474. The greatest factor of 7474 is 7474.

3. What are the Factors of 7482?

Answer: Factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482. There are 16 integers that are factors of 7482. The greatest factor of 7482 is 7482.

4. How to Find the GCF of 7474 and 7482?

Answer:

Greatest Common Factor of 7474 and 7482 = 2

Step 1: Find the prime factorization of 7474

7474 = 2 x 37 x 101

Step 2: Find the prime factorization of 7482

7482 = 2 x 3 x 29 x 43

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 7474 and 7482 is 2