Greatest Common Factor of 1465 and 1471

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 1465, 1471 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1465 and 1471 is 1.

GCF(1465,1471) = 1

GCF of 1465 and 1471

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

GCF of:
and

Greatest Common Factor of 1465 and 1471

GCF of 1465 and 1471 is 1

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

Prime Factorization of 1471


1471 1471
1

Prime factors of 1471 are 1471. Prime factorization of 1471 in exponential form is:

1471 = 14711

∴ So by taking common prime factors GCF of 1465 and 1471 is 1

Greatest Common Factor of 1465 and 1471 by matching factors method

Factors of 1465

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

1,5,293,1465

Factors of 1471

List of positive integer factors of 1471 that divides 1471 without a remainder.

1,1471

Greatest Common Factor

We found the factors and prime factorization of 1465 and 1471. The biggest common factor number is the GCF number.
So the greatest common factor 1465 and 1471 is 1.

Also check out the Least Common Multiple of 1465 and 1471

Properties of GCF 1465 and 1471

(i) The GCF of 1465 and 1471 is associative

GCF of 1465 and 1471 = GCF of 1471 and 1465

Related Greatest Common Factor of 1465

Related Greatest Common Factor of 1471

Frequently Asked Questions on GCF of 1465 and 1471

1. What is the GCF of 1465 and 1471?

Answer: GCF of 1465 and 1471 is 1.

2. 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.

3. What are the Factors of 1471?

Answer: Factors of 1471 are 1, 1471. There are 2 integers that are factors of 1471. The greatest factor of 1471 is 1471.

4. How to Find the GCF of 1465 and 1471?

Answer:

Greatest Common Factor of 1465 and 1471 = 1

Step 1: Find the prime factorization of 1465

1465 = 5 x 293

Step 2: Find the prime factorization of 1471

1471 = 1471

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 1465 and 1471 is 1