Greatest Common Factor of 434 and 437

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 434, 437 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 434 and 437 is 1.

GCF(434,437) = 1

GCF of 434 and 437

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

GCF of:
and

Greatest Common Factor of 434 and 437

GCF of 434 and 437 is 1

Prime Factorization of 434


2 434
7 217
31 31
1

Prime factors of 434 are 2,7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

Prime Factorization of 437


19 437
23 23
1

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 191×231

∴ So by taking common prime factors GCF of 434 and 437 is 1

Greatest Common Factor of 434 and 437 by matching factors method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors and prime factorization of 434 and 437. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 437 is 1.

Also check out the Least Common Multiple of 434 and 437

Properties of GCF 434 and 437

(i) The GCF of 434 and 437 is associative

GCF of 434 and 437 = GCF of 437 and 434

Related Greatest Common Factor of 434

Related Greatest Common Factor of 437

Frequently Asked Questions on GCF of 434 and 437

1. What is the GCF of 434 and 437?

Answer: GCF of 434 and 437 is 1.

2. What are the Factors of 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

3. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

4. How to Find the GCF of 434 and 437?

Answer:

Greatest Common Factor of 434 and 437 = 1

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 437

437 = 19 x 23

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 434 and 437 is 1