Greatest Common Factor of 2454 and 2462

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 2454, 2462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2454 and 2462 is 2.

GCF(2454,2462) = 2

GCF of 2454 and 2462

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

GCF of:
and

Greatest Common Factor of 2454 and 2462

GCF of 2454 and 2462 is 2

Prime Factorization of 2454


2 2454
3 1227
409 409
1

Prime factors of 2454 are 2,3,409. Prime factorization of 2454 in exponential form is:

2454 = 21×31×4091

Prime Factorization of 2462


2 2462
1231 1231
1

Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:

2462 = 21×12311

∴ So by taking common prime factors GCF of 2454 and 2462 is 2

Greatest Common Factor of 2454 and 2462 by matching factors method

Factors of 2454

List of positive integer factors of 2454 that divides 2454 without a remainder.

1,2,3,6,409,818,1227,2454

Factors of 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1,2,1231,2462

Greatest Common Factor

We found the factors and prime factorization of 2454 and 2462. The biggest common factor number is the GCF number.
So the greatest common factor 2454 and 2462 is 2.

Also check out the Least Common Multiple of 2454 and 2462

Properties of GCF 2454 and 2462

(i) The GCF of 2454 and 2462 is associative

GCF of 2454 and 2462 = GCF of 2462 and 2454

Related Greatest Common Factor of 2454

Related Greatest Common Factor of 2462

Frequently Asked Questions on GCF of 2454 and 2462

1. What is the GCF of 2454 and 2462?

Answer: GCF of 2454 and 2462 is 2.

2. What are the Factors of 2454?

Answer: Factors of 2454 are 1, 2, 3, 6, 409, 818, 1227, 2454. There are 8 integers that are factors of 2454. The greatest factor of 2454 is 2454.

3. What are the Factors of 2462?

Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.

4. How to Find the GCF of 2454 and 2462?

Answer:

Greatest Common Factor of 2454 and 2462 = 2

Step 1: Find the prime factorization of 2454

2454 = 2 x 3 x 409

Step 2: Find the prime factorization of 2462

2462 = 2 x 1231

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 2454 and 2462 is 2