Greatest Common Factor of 2471 and 2474

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 2471, 2474 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2471 and 2474 is 1.

GCF(2471,2474) = 1

GCF of 2471 and 2474

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

GCF of:
and

Greatest Common Factor of 2471 and 2474

GCF of 2471 and 2474 is 1

Prime Factorization of 2471


7 2471
353 353
1

Prime factors of 2471 are 7,353. Prime factorization of 2471 in exponential form is:

2471 = 71×3531

Prime Factorization of 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

∴ So by taking common prime factors GCF of 2471 and 2474 is 1

Greatest Common Factor of 2471 and 2474 by matching factors method

Factors of 2471

List of positive integer factors of 2471 that divides 2471 without a remainder.

1,7,353,2471

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1,2,1237,2474

Greatest Common Factor

We found the factors and prime factorization of 2471 and 2474. The biggest common factor number is the GCF number.
So the greatest common factor 2471 and 2474 is 1.

Also check out the Least Common Multiple of 2471 and 2474

Properties of GCF 2471 and 2474

(i) The GCF of 2471 and 2474 is associative

GCF of 2471 and 2474 = GCF of 2474 and 2471

Frequently Asked Questions on GCF of 2471 and 2474

1. What is the GCF of 2471 and 2474?

Answer: GCF of 2471 and 2474 is 1.

2. What are the Factors of 2471?

Answer: Factors of 2471 are 1, 7, 353, 2471. There are 4 integers that are factors of 2471. The greatest factor of 2471 is 2471.

3. What are the Factors of 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

4. How to Find the GCF of 2471 and 2474?

Answer:

Greatest Common Factor of 2471 and 2474 = 1

Step 1: Find the prime factorization of 2471

2471 = 7 x 353

Step 2: Find the prime factorization of 2474

2474 = 2 x 1237

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 2471 and 2474 is 1