Greatest Common Factor of 1490 and 1495

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 1490, 1495 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1490 and 1495 is 5.

GCF(1490,1495) = 5

GCF of 1490 and 1495

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

GCF of:
and

Greatest Common Factor of 1490 and 1495

GCF of 1490 and 1495 is 5

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

Prime Factorization of 1495


5 1495
13 299
23 23
1

Prime factors of 1495 are 5,13,23. Prime factorization of 1495 in exponential form is:

1495 = 51×131×231

∴ So by taking common prime factors GCF of 1490 and 1495 is 5

Greatest Common Factor of 1490 and 1495 by matching factors method

Factors of 1490

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

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

Factors of 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1,5,13,23,65,115,299,1495

Greatest Common Factor

We found the factors and prime factorization of 1490 and 1495. The biggest common factor number is the GCF number.
So the greatest common factor 1490 and 1495 is 5.

Also check out the Least Common Multiple of 1490 and 1495

Properties of GCF 1490 and 1495

(i) The GCF of 1490 and 1495 is associative

GCF of 1490 and 1495 = GCF of 1495 and 1490

Related Greatest Common Factor of 1490

Related Greatest Common Factor of 1495

Frequently Asked Questions on GCF of 1490 and 1495

1. What is the GCF of 1490 and 1495?

Answer: GCF of 1490 and 1495 is 5.

2. 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.

3. What are the Factors of 1495?

Answer: Factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495. There are 8 integers that are factors of 1495. The greatest factor of 1495 is 1495.

4. How to Find the GCF of 1490 and 1495?

Answer:

Greatest Common Factor of 1490 and 1495 = 5

Step 1: Find the prime factorization of 1490

1490 = 2 x 5 x 149

Step 2: Find the prime factorization of 1495

1495 = 5 x 13 x 23

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1490 and 1495 is 5