Greatest Common Factor of 7469 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 7469, 7473 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7469 and 7473 is 1.

GCF(7469,7473) = 1

GCF of 7469 and 7473

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

GCF of:
and

Greatest Common Factor of 7469 and 7473

GCF of 7469 and 7473 is 1

Prime Factorization of 7469


7 7469
11 1067
97 97
1

Prime factors of 7469 are 7,11,97. Prime factorization of 7469 in exponential form is:

7469 = 71×111×971

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 7469 and 7473 is 1

Greatest Common Factor of 7469 and 7473 by matching factors method

Factors of 7469

List of positive integer factors of 7469 that divides 7469 without a remainder.

1,7,11,77,97,679,1067,7469

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 7469 and 7473. The biggest common factor number is the GCF number.
So the greatest common factor 7469 and 7473 is 1.

Also check out the Least Common Multiple of 7469 and 7473

Properties of GCF 7469 and 7473

(i) The GCF of 7469 and 7473 is associative

GCF of 7469 and 7473 = GCF of 7473 and 7469

Frequently Asked Questions on GCF of 7469 and 7473

1. What is the GCF of 7469 and 7473?

Answer: GCF of 7469 and 7473 is 1.

2. What are the Factors of 7469?

Answer: Factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469. There are 8 integers that are factors of 7469. The greatest factor of 7469 is 7469.

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 7469 and 7473?

Answer:

Greatest Common Factor of 7469 and 7473 = 1

Step 1: Find the prime factorization of 7469

7469 = 7 x 11 x 97

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 7469 and 7473 is 1