Greatest Common Factor of 427 and 434

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 427, 434 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 427 and 434 is 7.

GCF(427,434) = 7

GCF of 427 and 434

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

GCF of:
and

Greatest Common Factor of 427 and 434

GCF of 427 and 434 is 7

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

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

∴ So by taking common prime factors GCF of 427 and 434 is 7

Greatest Common Factor of 427 and 434 by matching factors method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 434

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

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

Greatest Common Factor

We found the factors and prime factorization of 427 and 434. The biggest common factor number is the GCF number.
So the greatest common factor 427 and 434 is 7.

Also check out the Least Common Multiple of 427 and 434

Properties of GCF 427 and 434

(i) The GCF of 427 and 434 is associative

GCF of 427 and 434 = GCF of 434 and 427

Related Greatest Common Factor of 427

Related Greatest Common Factor of 434

Frequently Asked Questions on GCF of 427 and 434

1. What is the GCF of 427 and 434?

Answer: GCF of 427 and 434 is 7.

2. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

3. 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.

4. How to Find the GCF of 427 and 434?

Answer:

Greatest Common Factor of 427 and 434 = 7

Step 1: Find the prime factorization of 427

427 = 7 x 61

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 427 and 434 is 7