Greatest Common Factor of 7485 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 7485, 7488 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7485 and 7488 is 3.

GCF(7485,7488) = 3

GCF of 7485 and 7488

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

GCF of:
and

Greatest Common Factor of 7485 and 7488

GCF of 7485 and 7488 is 3

Prime Factorization of 7485


3 7485
5 2495
499 499
1

Prime factors of 7485 are 3,5,499. Prime factorization of 7485 in exponential form is:

7485 = 31×51×4991

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 7485 and 7488 is 3

Greatest Common Factor of 7485 and 7488 by matching factors method

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1,3,5,15,499,1497,2495,7485

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 7485 and 7488. The biggest common factor number is the GCF number.
So the greatest common factor 7485 and 7488 is 3.

Also check out the Least Common Multiple of 7485 and 7488

Properties of GCF 7485 and 7488

(i) The GCF of 7485 and 7488 is associative

GCF of 7485 and 7488 = GCF of 7488 and 7485

Related Greatest Common Factor of 7485

Related Greatest Common Factor of 7488

Frequently Asked Questions on GCF of 7485 and 7488

1. What is the GCF of 7485 and 7488?

Answer: GCF of 7485 and 7488 is 3.

2. What are the Factors of 7485?

Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.

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 7485 and 7488?

Answer:

Greatest Common Factor of 7485 and 7488 = 3

Step 1: Find the prime factorization of 7485

7485 = 3 x 5 x 499

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 = 3

Step 4: Therefore, the greatest common factor of 7485 and 7488 is 3