Greatest Common Factor of 1480 and 1487

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, 1487 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1480 and 1487 is 1.

GCF(1480,1487) = 1

GCF of 1480 and 1487

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

GCF of:
and

Greatest Common Factor of 1480 and 1487

GCF of 1480 and 1487 is 1

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 1487


1487 1487
1

Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:

1487 = 14871

∴ So by taking common prime factors GCF of 1480 and 1487 is 1

Greatest Common Factor of 1480 and 1487 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 1487

List of positive integer factors of 1487 that divides 1487 without a remainder.

1,1487

Greatest Common Factor

We found the factors and prime factorization of 1480 and 1487. The biggest common factor number is the GCF number.
So the greatest common factor 1480 and 1487 is 1.

Also check out the Least Common Multiple of 1480 and 1487

Properties of GCF 1480 and 1487

(i) The GCF of 1480 and 1487 is associative

GCF of 1480 and 1487 = GCF of 1487 and 1480

Related Greatest Common Factor of 1480

Related Greatest Common Factor of 1487

Frequently Asked Questions on GCF of 1480 and 1487

1. What is the GCF of 1480 and 1487?

Answer: GCF of 1480 and 1487 is 1.

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 1487?

Answer: Factors of 1487 are 1, 1487. There are 2 integers that are factors of 1487. The greatest factor of 1487 is 1487.

4. How to Find the GCF of 1480 and 1487?

Answer:

Greatest Common Factor of 1480 and 1487 = 1

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 1487

1487 = 1487

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1480 and 1487 is 1