Greatest Common Factor of 7484 and 7488

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 7484, 7488 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7484 and 7488 is 4.

GCF(7484,7488) = 4

GCF of 7484 and 7488

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

GCF of:
and

Greatest Common Factor of 7484 and 7488

GCF of 7484 and 7488 is 4

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

Prime Factorization of 7488


2 7488
2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 7488 are 2,3,13. Prime factorization of 7488 in exponential form is:

7488 = 26×32×131

∴ So by taking common prime factors GCF of 7484 and 7488 is 4

Greatest Common Factor of 7484 and 7488 by matching factors method

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors and prime factorization of 7484 and 7488. The biggest common factor number is the GCF number.
So the greatest common factor 7484 and 7488 is 4.

Also check out the Least Common Multiple of 7484 and 7488

Properties of GCF 7484 and 7488

(i) The GCF of 7484 and 7488 is associative

GCF of 7484 and 7488 = GCF of 7488 and 7484

Related Greatest Common Factor of 7484

Related Greatest Common Factor of 7488

Frequently Asked Questions on GCF of 7484 and 7488

1. What is the GCF of 7484 and 7488?

Answer: GCF of 7484 and 7488 is 4.

2. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

3. What are the Factors of 7488?

Answer: Factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488. There are 42 integers that are factors of 7488. The greatest factor of 7488 is 7488.

4. How to Find the GCF of 7484 and 7488?

Answer:

Greatest Common Factor of 7484 and 7488 = 4

Step 1: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

Step 2: Find the prime factorization of 7488

7488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7484 and 7488 is 4