Greatest Common Factor of 1486 and 1490

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 1486, 1490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1486 and 1490 is 2.

GCF(1486,1490) = 2

GCF of 1486 and 1490

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

GCF of:
and

Greatest Common Factor of 1486 and 1490

GCF of 1486 and 1490 is 2

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

Prime Factorization of 1490


2 1490
5 745
149 149
1

Prime factors of 1490 are 2,5,149. Prime factorization of 1490 in exponential form is:

1490 = 21×51×1491

∴ So by taking common prime factors GCF of 1486 and 1490 is 2

Greatest Common Factor of 1486 and 1490 by matching factors method

Factors of 1486

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

1,2,743,1486

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Greatest Common Factor

We found the factors and prime factorization of 1486 and 1490. The biggest common factor number is the GCF number.
So the greatest common factor 1486 and 1490 is 2.

Also check out the Least Common Multiple of 1486 and 1490

Properties of GCF 1486 and 1490

(i) The GCF of 1486 and 1490 is associative

GCF of 1486 and 1490 = GCF of 1490 and 1486

Related Greatest Common Factor of 1486

Related Greatest Common Factor of 1490

Frequently Asked Questions on GCF of 1486 and 1490

1. What is the GCF of 1486 and 1490?

Answer: GCF of 1486 and 1490 is 2.

2. 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.

3. What are the Factors of 1490?

Answer: Factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490. There are 8 integers that are factors of 1490. The greatest factor of 1490 is 1490.

4. How to Find the GCF of 1486 and 1490?

Answer:

Greatest Common Factor of 1486 and 1490 = 2

Step 1: Find the prime factorization of 1486

1486 = 2 x 743

Step 2: Find the prime factorization of 1490

1490 = 2 x 5 x 149

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 1486 and 1490 is 2