Greatest Common Factor of 1430 and 1437

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, 1437 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1430 and 1437 is 1.

GCF(1430,1437) = 1

GCF of 1430 and 1437

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

GCF of:
and

Greatest Common Factor of 1430 and 1437

GCF of 1430 and 1437 is 1

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 1437


3 1437
479 479
1

Prime factors of 1437 are 3,479. Prime factorization of 1437 in exponential form is:

1437 = 31×4791

∴ So by taking common prime factors GCF of 1430 and 1437 is 1

Greatest Common Factor of 1430 and 1437 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 1437

List of positive integer factors of 1437 that divides 1437 without a remainder.

1,3,479,1437

Greatest Common Factor

We found the factors and prime factorization of 1430 and 1437. The biggest common factor number is the GCF number.
So the greatest common factor 1430 and 1437 is 1.

Also check out the Least Common Multiple of 1430 and 1437

Properties of GCF 1430 and 1437

(i) The GCF of 1430 and 1437 is associative

GCF of 1430 and 1437 = GCF of 1437 and 1430

Related Greatest Common Factor of 1430

Related Greatest Common Factor of 1437

Frequently Asked Questions on GCF of 1430 and 1437

1. What is the GCF of 1430 and 1437?

Answer: GCF of 1430 and 1437 is 1.

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 1437?

Answer: Factors of 1437 are 1, 3, 479, 1437. There are 4 integers that are factors of 1437. The greatest factor of 1437 is 1437.

4. How to Find the GCF of 1430 and 1437?

Answer:

Greatest Common Factor of 1430 and 1437 = 1

Step 1: Find the prime factorization of 1430

1430 = 2 x 5 x 11 x 13

Step 2: Find the prime factorization of 1437

1437 = 3 x 479

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 1430 and 1437 is 1