Greatest Common Factor of 4460 and 4465

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 4460, 4465 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4460 and 4465 is 5.

GCF(4460,4465) = 5

GCF of 4460 and 4465

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

GCF of:
and

Greatest Common Factor of 4460 and 4465

GCF of 4460 and 4465 is 5

Prime Factorization of 4460


2 4460
2 2230
5 1115
223 223
1

Prime factors of 4460 are 2,5,223. Prime factorization of 4460 in exponential form is:

4460 = 22×51×2231

Prime Factorization of 4465


5 4465
19 893
47 47
1

Prime factors of 4465 are 5,19,47. Prime factorization of 4465 in exponential form is:

4465 = 51×191×471

∴ So by taking common prime factors GCF of 4460 and 4465 is 5

Greatest Common Factor of 4460 and 4465 by matching factors method

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1,5,19,47,95,235,893,4465

Greatest Common Factor

We found the factors and prime factorization of 4460 and 4465. The biggest common factor number is the GCF number.
So the greatest common factor 4460 and 4465 is 5.

Also check out the Least Common Multiple of 4460 and 4465

Properties of GCF 4460 and 4465

(i) The GCF of 4460 and 4465 is associative

GCF of 4460 and 4465 = GCF of 4465 and 4460

Related Greatest Common Factor of 4460

Related Greatest Common Factor of 4465

Frequently Asked Questions on GCF of 4460 and 4465

1. What is the GCF of 4460 and 4465?

Answer: GCF of 4460 and 4465 is 5.

2. What are the Factors of 4460?

Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.

3. What are the Factors of 4465?

Answer: Factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465. There are 8 integers that are factors of 4465. The greatest factor of 4465 is 4465.

4. How to Find the GCF of 4460 and 4465?

Answer:

Greatest Common Factor of 4460 and 4465 = 5

Step 1: Find the prime factorization of 4460

4460 = 2 x 2 x 5 x 223

Step 2: Find the prime factorization of 4465

4465 = 5 x 19 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4460 and 4465 is 5