Greatest Common Factor of 2458 and 2464

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 2458, 2464 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2458 and 2464 is 2.

GCF(2458,2464) = 2

GCF of 2458 and 2464

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

GCF of:
and

Greatest Common Factor of 2458 and 2464

GCF of 2458 and 2464 is 2

Prime Factorization of 2458


2 2458
1229 1229
1

Prime factors of 2458 are 2,1229. Prime factorization of 2458 in exponential form is:

2458 = 21×12291

Prime Factorization of 2464


2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 2464 are 2,7,11. Prime factorization of 2464 in exponential form is:

2464 = 25×71×111

∴ So by taking common prime factors GCF of 2458 and 2464 is 2

Greatest Common Factor of 2458 and 2464 by matching factors method

Factors of 2458

List of positive integer factors of 2458 that divides 2458 without a remainder.

1,2,1229,2458

Factors of 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464

Greatest Common Factor

We found the factors and prime factorization of 2458 and 2464. The biggest common factor number is the GCF number.
So the greatest common factor 2458 and 2464 is 2.

Also check out the Least Common Multiple of 2458 and 2464

Properties of GCF 2458 and 2464

(i) The GCF of 2458 and 2464 is associative

GCF of 2458 and 2464 = GCF of 2464 and 2458

Related Greatest Common Factor of 2458

Related Greatest Common Factor of 2464

Frequently Asked Questions on GCF of 2458 and 2464

1. What is the GCF of 2458 and 2464?

Answer: GCF of 2458 and 2464 is 2.

2. What are the Factors of 2458?

Answer: Factors of 2458 are 1, 2, 1229, 2458. There are 4 integers that are factors of 2458. The greatest factor of 2458 is 2458.

3. What are the Factors of 2464?

Answer: Factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464. There are 24 integers that are factors of 2464. The greatest factor of 2464 is 2464.

4. How to Find the GCF of 2458 and 2464?

Answer:

Greatest Common Factor of 2458 and 2464 = 2

Step 1: Find the prime factorization of 2458

2458 = 2 x 1229

Step 2: Find the prime factorization of 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 x 11

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 2458 and 2464 is 2