Greatest Common Factor of 434 and 436

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

Greatest common factor (GCF) of 434 and 436 is 2.

GCF(434,436) = 2

GCF of 434 and 436

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

GCF of:
and

Greatest Common Factor of 434 and 436

GCF of 434 and 436 is 2

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 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

∴ So by taking common prime factors GCF of 434 and 436 is 2

Greatest Common Factor of 434 and 436 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 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors and prime factorization of 434 and 436. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 436 is 2.

Also check out the Least Common Multiple of 434 and 436

Properties of GCF 434 and 436

(i) The GCF of 434 and 436 is associative

GCF of 434 and 436 = GCF of 436 and 434

Related Greatest Common Factor of 434

Related Greatest Common Factor of 436

Frequently Asked Questions on GCF of 434 and 436

1. What is the GCF of 434 and 436?

Answer: GCF of 434 and 436 is 2.

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 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. How to Find the GCF of 434 and 436?

Answer:

Greatest Common Factor of 434 and 436 = 2

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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 434 and 436 is 2