Greatest Common Factor of 1484 and 1488

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 1484, 1488 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1484 and 1488 is 4.

GCF(1484,1488) = 4

GCF of 1484 and 1488

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

GCF of:
and

Greatest Common Factor of 1484 and 1488

GCF of 1484 and 1488 is 4

Prime Factorization of 1484


2 1484
2 742
7 371
53 53
1

Prime factors of 1484 are 2,7,53. Prime factorization of 1484 in exponential form is:

1484 = 22×71×531

Prime Factorization of 1488


2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 1488 are 2,3,31. Prime factorization of 1488 in exponential form is:

1488 = 24×31×311

∴ So by taking common prime factors GCF of 1484 and 1488 is 4

Greatest Common Factor of 1484 and 1488 by matching factors method

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Greatest Common Factor

We found the factors and prime factorization of 1484 and 1488. The biggest common factor number is the GCF number.
So the greatest common factor 1484 and 1488 is 4.

Also check out the Least Common Multiple of 1484 and 1488

Properties of GCF 1484 and 1488

(i) The GCF of 1484 and 1488 is associative

GCF of 1484 and 1488 = GCF of 1488 and 1484

Related Greatest Common Factor of 1484

Related Greatest Common Factor of 1488

Frequently Asked Questions on GCF of 1484 and 1488

1. What is the GCF of 1484 and 1488?

Answer: GCF of 1484 and 1488 is 4.

2. What are the Factors of 1484?

Answer: Factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. There are 12 integers that are factors of 1484. The greatest factor of 1484 is 1484.

3. What are the Factors of 1488?

Answer: Factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488. There are 20 integers that are factors of 1488. The greatest factor of 1488 is 1488.

4. How to Find the GCF of 1484 and 1488?

Answer:

Greatest Common Factor of 1484 and 1488 = 4

Step 1: Find the prime factorization of 1484

1484 = 2 x 2 x 7 x 53

Step 2: Find the prime factorization of 1488

1488 = 2 x 2 x 2 x 2 x 3 x 31

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 1484 and 1488 is 4