Greatest Common Factor of 2462 and 2468

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 2462, 2468 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2462 and 2468 is 2.

GCF(2462,2468) = 2

GCF of 2462 and 2468

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

GCF of:
and

Greatest Common Factor of 2462 and 2468

GCF of 2462 and 2468 is 2

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

Prime Factorization of 2468


2 2468
2 1234
617 617
1

Prime factors of 2468 are 2,617. Prime factorization of 2468 in exponential form is:

2468 = 22×6171

∴ So by taking common prime factors GCF of 2462 and 2468 is 2

Greatest Common Factor of 2462 and 2468 by matching factors method

Factors of 2462

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

1,2,1231,2462

Factors of 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1,2,4,617,1234,2468

Greatest Common Factor

We found the factors and prime factorization of 2462 and 2468. The biggest common factor number is the GCF number.
So the greatest common factor 2462 and 2468 is 2.

Also check out the Least Common Multiple of 2462 and 2468

Properties of GCF 2462 and 2468

(i) The GCF of 2462 and 2468 is associative

GCF of 2462 and 2468 = GCF of 2468 and 2462

Related Greatest Common Factor of 2462

Related Greatest Common Factor of 2468

Frequently Asked Questions on GCF of 2462 and 2468

1. What is the GCF of 2462 and 2468?

Answer: GCF of 2462 and 2468 is 2.

2. 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.

3. What are the Factors of 2468?

Answer: Factors of 2468 are 1, 2, 4, 617, 1234, 2468. There are 6 integers that are factors of 2468. The greatest factor of 2468 is 2468.

4. How to Find the GCF of 2462 and 2468?

Answer:

Greatest Common Factor of 2462 and 2468 = 2

Step 1: Find the prime factorization of 2462

2462 = 2 x 1231

Step 2: Find the prime factorization of 2468

2468 = 2 x 2 x 617

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 2462 and 2468 is 2