Greatest Common Factor of 1430 and 1438

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 1430, 1438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1430 and 1438 is 2.

GCF(1430,1438) = 2

GCF of 1430 and 1438

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

GCF of:
and

Greatest Common Factor of 1430 and 1438

GCF of 1430 and 1438 is 2

Prime Factorization of 1430


2 1430
5 715
11 143
13 13
1

Prime factors of 1430 are 2,5,11,13. Prime factorization of 1430 in exponential form is:

1430 = 21×51×111×131

Prime Factorization of 1438


2 1438
719 719
1

Prime factors of 1438 are 2,719. Prime factorization of 1438 in exponential form is:

1438 = 21×7191

∴ So by taking common prime factors GCF of 1430 and 1438 is 2

Greatest Common Factor of 1430 and 1438 by matching factors method

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1,2,719,1438

Greatest Common Factor

We found the factors and prime factorization of 1430 and 1438. The biggest common factor number is the GCF number.
So the greatest common factor 1430 and 1438 is 2.

Also check out the Least Common Multiple of 1430 and 1438

Properties of GCF 1430 and 1438

(i) The GCF of 1430 and 1438 is associative

GCF of 1430 and 1438 = GCF of 1438 and 1430

Related Greatest Common Factor of 1430

Related Greatest Common Factor of 1438

Frequently Asked Questions on GCF of 1430 and 1438

1. What is the GCF of 1430 and 1438?

Answer: GCF of 1430 and 1438 is 2.

2. What are the Factors of 1430?

Answer: Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430. There are 16 integers that are factors of 1430. The greatest factor of 1430 is 1430.

3. What are the Factors of 1438?

Answer: Factors of 1438 are 1, 2, 719, 1438. There are 4 integers that are factors of 1438. The greatest factor of 1438 is 1438.

4. How to Find the GCF of 1430 and 1438?

Answer:

Greatest Common Factor of 1430 and 1438 = 2

Step 1: Find the prime factorization of 1430

1430 = 2 x 5 x 11 x 13

Step 2: Find the prime factorization of 1438

1438 = 2 x 719

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 1430 and 1438 is 2