Greatest Common Factor of 1429 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 1429, 1437 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1429 and 1437 is 1.

GCF(1429,1437) = 1

GCF of 1429 and 1437

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

GCF of:
and

Greatest Common Factor of 1429 and 1437

GCF of 1429 and 1437 is 1

Prime Factorization of 1429


1429 1429
1

Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:

1429 = 14291

Prime Factorization of 1437


3 1437
479 479
1

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

1437 = 31×4791

∴ So by taking common prime factors GCF of 1429 and 1437 is 1

Greatest Common Factor of 1429 and 1437 by matching factors method

Factors of 1429

List of positive integer factors of 1429 that divides 1429 without a remainder.

1,1429

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 1429 and 1437. The biggest common factor number is the GCF number.
So the greatest common factor 1429 and 1437 is 1.

Also check out the Least Common Multiple of 1429 and 1437

Properties of GCF 1429 and 1437

(i) The GCF of 1429 and 1437 is associative

GCF of 1429 and 1437 = GCF of 1437 and 1429

Frequently Asked Questions on GCF of 1429 and 1437

1. What is the GCF of 1429 and 1437?

Answer: GCF of 1429 and 1437 is 1.

2. What are the Factors of 1429?

Answer: Factors of 1429 are 1, 1429. There are 2 integers that are factors of 1429. The greatest factor of 1429 is 1429.

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 1429 and 1437?

Answer:

Greatest Common Factor of 1429 and 1437 = 1

Step 1: Find the prime factorization of 1429

1429 = 1429

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 1429 and 1437 is 1