Greatest Common Factor of 7472 and 7473

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 7472, 7473 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7472 and 7473 is 1.

GCF(7472,7473) = 1

GCF of 7472 and 7473

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

GCF of:
and

Greatest Common Factor of 7472 and 7473

GCF of 7472 and 7473 is 1

Prime Factorization of 7472


2 7472
2 3736
2 1868
2 934
467 467
1

Prime factors of 7472 are 2,467. Prime factorization of 7472 in exponential form is:

7472 = 24×4671

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

∴ So by taking common prime factors GCF of 7472 and 7473 is 1

Greatest Common Factor of 7472 and 7473 by matching factors method

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Factors of 7473

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

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

Greatest Common Factor

We found the factors and prime factorization of 7472 and 7473. The biggest common factor number is the GCF number.
So the greatest common factor 7472 and 7473 is 1.

Also check out the Least Common Multiple of 7472 and 7473

Properties of GCF 7472 and 7473

(i) The GCF of 7472 and 7473 is associative

GCF of 7472 and 7473 = GCF of 7473 and 7472

Related Greatest Common Factor of 7472

Related Greatest Common Factor of 7473

Frequently Asked Questions on GCF of 7472 and 7473

1. What is the GCF of 7472 and 7473?

Answer: GCF of 7472 and 7473 is 1.

2. What are the Factors of 7472?

Answer: Factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472. There are 10 integers that are factors of 7472. The greatest factor of 7472 is 7472.

3. 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.

4. How to Find the GCF of 7472 and 7473?

Answer:

Greatest Common Factor of 7472 and 7473 = 1

Step 1: Find the prime factorization of 7472

7472 = 2 x 2 x 2 x 2 x 467

Step 2: Find the prime factorization of 7473

7473 = 3 x 47 x 53

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 7472 and 7473 is 1