Greatest Common Factor of 7473 and 7478

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 7473, 7478 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7473 and 7478 is 1.

GCF(7473,7478) = 1

GCF of 7473 and 7478

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

GCF of:
and

Greatest Common Factor of 7473 and 7478

GCF of 7473 and 7478 is 1

Prime Factorization of 7473


3 7473
47 2491
53 53
1

Prime factors of 7473 are 3,47,53. Prime factorization of 7473 in exponential form is:

7473 = 31×471×531

Prime Factorization of 7478


2 7478
3739 3739
1

Prime factors of 7478 are 2,3739. Prime factorization of 7478 in exponential form is:

7478 = 21×37391

∴ So by taking common prime factors GCF of 7473 and 7478 is 1

Greatest Common Factor of 7473 and 7478 by matching factors method

Factors of 7473

List of positive integer factors of 7473 that divides 7473 without a remainder.

1,3,47,53,141,159,2491,7473

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1,2,3739,7478

Greatest Common Factor

We found the factors and prime factorization of 7473 and 7478. The biggest common factor number is the GCF number.
So the greatest common factor 7473 and 7478 is 1.

Also check out the Least Common Multiple of 7473 and 7478

Properties of GCF 7473 and 7478

(i) The GCF of 7473 and 7478 is associative

GCF of 7473 and 7478 = GCF of 7478 and 7473

Related Greatest Common Factor of 7473

Related Greatest Common Factor of 7478

Frequently Asked Questions on GCF of 7473 and 7478

1. What is the GCF of 7473 and 7478?

Answer: GCF of 7473 and 7478 is 1.

2. What are the Factors of 7473?

Answer: Factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473. There are 8 integers that are factors of 7473. The greatest factor of 7473 is 7473.

3. What are the Factors of 7478?

Answer: Factors of 7478 are 1, 2, 3739, 7478. There are 4 integers that are factors of 7478. The greatest factor of 7478 is 7478.

4. How to Find the GCF of 7473 and 7478?

Answer:

Greatest Common Factor of 7473 and 7478 = 1

Step 1: Find the prime factorization of 7473

7473 = 3 x 47 x 53

Step 2: Find the prime factorization of 7478

7478 = 2 x 3739

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 7473 and 7478 is 1