Greatest Common Factor of 2464 and 2465

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 2464, 2465 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2464 and 2465 is 1.

GCF(2464,2465) = 1

GCF of 2464 and 2465

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

GCF of:
and

Greatest Common Factor of 2464 and 2465

GCF of 2464 and 2465 is 1

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

Prime Factorization of 2465


5 2465
17 493
29 29
1

Prime factors of 2465 are 5,17,29. Prime factorization of 2465 in exponential form is:

2465 = 51×171×291

∴ So by taking common prime factors GCF of 2464 and 2465 is 1

Greatest Common Factor of 2464 and 2465 by matching factors method

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

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1,5,17,29,85,145,493,2465

Greatest Common Factor

We found the factors and prime factorization of 2464 and 2465. The biggest common factor number is the GCF number.
So the greatest common factor 2464 and 2465 is 1.

Also check out the Least Common Multiple of 2464 and 2465

Properties of GCF 2464 and 2465

(i) The GCF of 2464 and 2465 is associative

GCF of 2464 and 2465 = GCF of 2465 and 2464

Related Greatest Common Factor of 2464

Related Greatest Common Factor of 2465

Frequently Asked Questions on GCF of 2464 and 2465

1. What is the GCF of 2464 and 2465?

Answer: GCF of 2464 and 2465 is 1.

2. 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.

3. What are the Factors of 2465?

Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.

4. How to Find the GCF of 2464 and 2465?

Answer:

Greatest Common Factor of 2464 and 2465 = 1

Step 1: Find the prime factorization of 2464

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

Step 2: Find the prime factorization of 2465

2465 = 5 x 17 x 29

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 2464 and 2465 is 1