Greatest Common Factor of 1480 and 1486

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, 1486 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1480 and 1486 is 2.

GCF(1480,1486) = 2

GCF of 1480 and 1486

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

GCF of:
and

Greatest Common Factor of 1480 and 1486

GCF of 1480 and 1486 is 2

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 1486


2 1486
743 743
1

Prime factors of 1486 are 2,743. Prime factorization of 1486 in exponential form is:

1486 = 21×7431

∴ So by taking common prime factors GCF of 1480 and 1486 is 2

Greatest Common Factor of 1480 and 1486 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 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1,2,743,1486

Greatest Common Factor

We found the factors and prime factorization of 1480 and 1486. The biggest common factor number is the GCF number.
So the greatest common factor 1480 and 1486 is 2.

Also check out the Least Common Multiple of 1480 and 1486

Properties of GCF 1480 and 1486

(i) The GCF of 1480 and 1486 is associative

GCF of 1480 and 1486 = GCF of 1486 and 1480

Related Greatest Common Factor of 1480

Related Greatest Common Factor of 1486

Frequently Asked Questions on GCF of 1480 and 1486

1. What is the GCF of 1480 and 1486?

Answer: GCF of 1480 and 1486 is 2.

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 1486?

Answer: Factors of 1486 are 1, 2, 743, 1486. There are 4 integers that are factors of 1486. The greatest factor of 1486 is 1486.

4. How to Find the GCF of 1480 and 1486?

Answer:

Greatest Common Factor of 1480 and 1486 = 2

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 1486

1486 = 2 x 743

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1480 and 1486 is 2