Greatest Common Factor of 3424 and 3431

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 3424, 3431 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3424 and 3431 is 1.

GCF(3424,3431) = 1

GCF of 3424 and 3431

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

GCF of:
and

Greatest Common Factor of 3424 and 3431

GCF of 3424 and 3431 is 1

Prime Factorization of 3424


2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 3424 are 2,107. Prime factorization of 3424 in exponential form is:

3424 = 25×1071

Prime Factorization of 3431


47 3431
73 73
1

Prime factors of 3431 are 47,73. Prime factorization of 3431 in exponential form is:

3431 = 471×731

∴ So by taking common prime factors GCF of 3424 and 3431 is 1

Greatest Common Factor of 3424 and 3431 by matching factors method

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1,47,73,3431

Greatest Common Factor

We found the factors and prime factorization of 3424 and 3431. The biggest common factor number is the GCF number.
So the greatest common factor 3424 and 3431 is 1.

Also check out the Least Common Multiple of 3424 and 3431

Properties of GCF 3424 and 3431

(i) The GCF of 3424 and 3431 is associative

GCF of 3424 and 3431 = GCF of 3431 and 3424

Related Greatest Common Factor of 3424

Related Greatest Common Factor of 3431

Frequently Asked Questions on GCF of 3424 and 3431

1. What is the GCF of 3424 and 3431?

Answer: GCF of 3424 and 3431 is 1.

2. What are the Factors of 3424?

Answer: Factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424. There are 12 integers that are factors of 3424. The greatest factor of 3424 is 3424.

3. What are the Factors of 3431?

Answer: Factors of 3431 are 1, 47, 73, 3431. There are 4 integers that are factors of 3431. The greatest factor of 3431 is 3431.

4. How to Find the GCF of 3424 and 3431?

Answer:

Greatest Common Factor of 3424 and 3431 = 1

Step 1: Find the prime factorization of 3424

3424 = 2 x 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 3431

3431 = 47 x 73

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 3424 and 3431 is 1