Greatest Common Factor of 5462 and 5465

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 5462, 5465 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5462 and 5465 is 1.

GCF(5462,5465) = 1

GCF of 5462 and 5465

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

GCF of:
and

Greatest Common Factor of 5462 and 5465

GCF of 5462 and 5465 is 1

Prime Factorization of 5462


2 5462
2731 2731
1

Prime factors of 5462 are 2,2731. Prime factorization of 5462 in exponential form is:

5462 = 21×27311

Prime Factorization of 5465


5 5465
1093 1093
1

Prime factors of 5465 are 5,1093. Prime factorization of 5465 in exponential form is:

5465 = 51×10931

∴ So by taking common prime factors GCF of 5462 and 5465 is 1

Greatest Common Factor of 5462 and 5465 by matching factors method

Factors of 5462

List of positive integer factors of 5462 that divides 5462 without a remainder.

1,2,2731,5462

Factors of 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1,5,1093,5465

Greatest Common Factor

We found the factors and prime factorization of 5462 and 5465. The biggest common factor number is the GCF number.
So the greatest common factor 5462 and 5465 is 1.

Also check out the Least Common Multiple of 5462 and 5465

Properties of GCF 5462 and 5465

(i) The GCF of 5462 and 5465 is associative

GCF of 5462 and 5465 = GCF of 5465 and 5462

Related Greatest Common Factor of 5462

Related Greatest Common Factor of 5465

Frequently Asked Questions on GCF of 5462 and 5465

1. What is the GCF of 5462 and 5465?

Answer: GCF of 5462 and 5465 is 1.

2. What are the Factors of 5462?

Answer: Factors of 5462 are 1, 2, 2731, 5462. There are 4 integers that are factors of 5462. The greatest factor of 5462 is 5462.

3. What are the Factors of 5465?

Answer: Factors of 5465 are 1, 5, 1093, 5465. There are 4 integers that are factors of 5465. The greatest factor of 5465 is 5465.

4. How to Find the GCF of 5462 and 5465?

Answer:

Greatest Common Factor of 5462 and 5465 = 1

Step 1: Find the prime factorization of 5462

5462 = 2 x 2731

Step 2: Find the prime factorization of 5465

5465 = 5 x 1093

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 5462 and 5465 is 1