Greatest Common Factor of 7488 and 7492

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 7488, 7492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7488 and 7492 is 4.

GCF(7488,7492) = 4

GCF of 7488 and 7492

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

GCF of:
and

Greatest Common Factor of 7488 and 7492

GCF of 7488 and 7492 is 4

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

Prime Factorization of 7492


2 7492
2 3746
1873 1873
1

Prime factors of 7492 are 2,1873. Prime factorization of 7492 in exponential form is:

7492 = 22×18731

∴ So by taking common prime factors GCF of 7488 and 7492 is 4

Greatest Common Factor of 7488 and 7492 by matching factors method

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

Factors of 7492

List of positive integer factors of 7492 that divides 7492 without a remainder.

1,2,4,1873,3746,7492

Greatest Common Factor

We found the factors and prime factorization of 7488 and 7492. The biggest common factor number is the GCF number.
So the greatest common factor 7488 and 7492 is 4.

Also check out the Least Common Multiple of 7488 and 7492

Properties of GCF 7488 and 7492

(i) The GCF of 7488 and 7492 is associative

GCF of 7488 and 7492 = GCF of 7492 and 7488

Related Greatest Common Factor of 7488

Related Greatest Common Factor of 7492

Frequently Asked Questions on GCF of 7488 and 7492

1. What is the GCF of 7488 and 7492?

Answer: GCF of 7488 and 7492 is 4.

2. 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.

3. What are the Factors of 7492?

Answer: Factors of 7492 are 1, 2, 4, 1873, 3746, 7492. There are 6 integers that are factors of 7492. The greatest factor of 7492 is 7492.

4. How to Find the GCF of 7488 and 7492?

Answer:

Greatest Common Factor of 7488 and 7492 = 4

Step 1: 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 2: Find the prime factorization of 7492

7492 = 2 x 2 x 1873

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 7488 and 7492 is 4