Greatest Common Factor of 7464 and 7469

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 7464, 7469 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7464 and 7469 is 1.

GCF(7464,7469) = 1

GCF of 7464 and 7469

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

GCF of:
and

Greatest Common Factor of 7464 and 7469

GCF of 7464 and 7469 is 1

Prime Factorization of 7464


2 7464
2 3732
2 1866
3 933
311 311
1

Prime factors of 7464 are 2,3,311. Prime factorization of 7464 in exponential form is:

7464 = 23×31×3111

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

∴ So by taking common prime factors GCF of 7464 and 7469 is 1

Greatest Common Factor of 7464 and 7469 by matching factors method

Factors of 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464

Factors of 7469

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

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

Greatest Common Factor

We found the factors and prime factorization of 7464 and 7469. The biggest common factor number is the GCF number.
So the greatest common factor 7464 and 7469 is 1.

Also check out the Least Common Multiple of 7464 and 7469

Properties of GCF 7464 and 7469

(i) The GCF of 7464 and 7469 is associative

GCF of 7464 and 7469 = GCF of 7469 and 7464

Related Greatest Common Factor of 7464

Related Greatest Common Factor of 7469

Frequently Asked Questions on GCF of 7464 and 7469

1. What is the GCF of 7464 and 7469?

Answer: GCF of 7464 and 7469 is 1.

2. What are the Factors of 7464?

Answer: Factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464. There are 16 integers that are factors of 7464. The greatest factor of 7464 is 7464.

3. 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.

4. How to Find the GCF of 7464 and 7469?

Answer:

Greatest Common Factor of 7464 and 7469 = 1

Step 1: Find the prime factorization of 7464

7464 = 2 x 2 x 2 x 3 x 311

Step 2: Find the prime factorization of 7469

7469 = 7 x 11 x 97

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 7464 and 7469 is 1