Greatest Common Factor of 1480 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 1480, 1488 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1480 and 1488 is 8.

GCF(1480,1488) = 8

GCF of 1480 and 1488

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

GCF of:
and

Greatest Common Factor of 1480 and 1488

GCF of 1480 and 1488 is 8

Prime Factorization of 1480


2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 1480 are 2,5,37. Prime factorization of 1480 in exponential form is:

1480 = 23×51×371

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 1480 and 1488 is 8

Greatest Common Factor of 1480 and 1488 by matching factors method

Factors of 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480

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 1480 and 1488. The biggest common factor number is the GCF number.
So the greatest common factor 1480 and 1488 is 8.

Also check out the Least Common Multiple of 1480 and 1488

Properties of GCF 1480 and 1488

(i) The GCF of 1480 and 1488 is associative

GCF of 1480 and 1488 = GCF of 1488 and 1480

Related Greatest Common Factor of 1480

Related Greatest Common Factor of 1488

Frequently Asked Questions on GCF of 1480 and 1488

1. What is the GCF of 1480 and 1488?

Answer: GCF of 1480 and 1488 is 8.

2. What are the Factors of 1480?

Answer: Factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480. There are 16 integers that are factors of 1480. The greatest factor of 1480 is 1480.

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 1480 and 1488?

Answer:

Greatest Common Factor of 1480 and 1488 = 8

Step 1: Find the prime factorization of 1480

1480 = 2 x 2 x 2 x 5 x 37

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 1480 and 1488 is 8