Greatest Common Factor of 7464 and 7472

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, 7472 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7464 and 7472 is 8.

GCF(7464,7472) = 8

GCF of 7464 and 7472

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

GCF of:
and

Greatest Common Factor of 7464 and 7472

GCF of 7464 and 7472 is 8

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 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

∴ So by taking common prime factors GCF of 7464 and 7472 is 8

Greatest Common Factor of 7464 and 7472 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 7472

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

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

Greatest Common Factor

We found the factors and prime factorization of 7464 and 7472. The biggest common factor number is the GCF number.
So the greatest common factor 7464 and 7472 is 8.

Also check out the Least Common Multiple of 7464 and 7472

Properties of GCF 7464 and 7472

(i) The GCF of 7464 and 7472 is associative

GCF of 7464 and 7472 = GCF of 7472 and 7464

Related Greatest Common Factor of 7464

Related Greatest Common Factor of 7472

Frequently Asked Questions on GCF of 7464 and 7472

1. What is the GCF of 7464 and 7472?

Answer: GCF of 7464 and 7472 is 8.

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 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.

4. How to Find the GCF of 7464 and 7472?

Answer:

Greatest Common Factor of 7464 and 7472 = 8

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 7472

7472 = 2 x 2 x 2 x 2 x 467

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7464 and 7472 is 8