Greatest Common Factor of 1460 and 1465

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 1460, 1465 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1460 and 1465 is 5.

GCF(1460,1465) = 5

GCF of 1460 and 1465

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

GCF of:
and

Greatest Common Factor of 1460 and 1465

GCF of 1460 and 1465 is 5

Prime Factorization of 1460


2 1460
2 730
5 365
73 73
1

Prime factors of 1460 are 2,5,73. Prime factorization of 1460 in exponential form is:

1460 = 22×51×731

Prime Factorization of 1465


5 1465
293 293
1

Prime factors of 1465 are 5,293. Prime factorization of 1465 in exponential form is:

1465 = 51×2931

∴ So by taking common prime factors GCF of 1460 and 1465 is 5

Greatest Common Factor of 1460 and 1465 by matching factors method

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1,2,4,5,10,20,73,146,292,365,730,1460

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1,5,293,1465

Greatest Common Factor

We found the factors and prime factorization of 1460 and 1465. The biggest common factor number is the GCF number.
So the greatest common factor 1460 and 1465 is 5.

Also check out the Least Common Multiple of 1460 and 1465

Properties of GCF 1460 and 1465

(i) The GCF of 1460 and 1465 is associative

GCF of 1460 and 1465 = GCF of 1465 and 1460

Related Greatest Common Factor of 1460

Related Greatest Common Factor of 1465

Frequently Asked Questions on GCF of 1460 and 1465

1. What is the GCF of 1460 and 1465?

Answer: GCF of 1460 and 1465 is 5.

2. What are the Factors of 1460?

Answer: Factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. There are 12 integers that are factors of 1460. The greatest factor of 1460 is 1460.

3. What are the Factors of 1465?

Answer: Factors of 1465 are 1, 5, 293, 1465. There are 4 integers that are factors of 1465. The greatest factor of 1465 is 1465.

4. How to Find the GCF of 1460 and 1465?

Answer:

Greatest Common Factor of 1460 and 1465 = 5

Step 1: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 1465

1465 = 5 x 293

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 1460 and 1465 is 5