Greatest Common Factor of 5461 and 5469

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 5461, 5469 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5461 and 5469 is 1.

GCF(5461,5469) = 1

GCF of 5461 and 5469

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

GCF of:
and

Greatest Common Factor of 5461 and 5469

GCF of 5461 and 5469 is 1

Prime Factorization of 5461


43 5461
127 127
1

Prime factors of 5461 are 43,127. Prime factorization of 5461 in exponential form is:

5461 = 431×1271

Prime Factorization of 5469


3 5469
1823 1823
1

Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:

5469 = 31×18231

∴ So by taking common prime factors GCF of 5461 and 5469 is 1

Greatest Common Factor of 5461 and 5469 by matching factors method

Factors of 5461

List of positive integer factors of 5461 that divides 5461 without a remainder.

1,43,127,5461

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1,3,1823,5469

Greatest Common Factor

We found the factors and prime factorization of 5461 and 5469. The biggest common factor number is the GCF number.
So the greatest common factor 5461 and 5469 is 1.

Also check out the Least Common Multiple of 5461 and 5469

Properties of GCF 5461 and 5469

(i) The GCF of 5461 and 5469 is associative

GCF of 5461 and 5469 = GCF of 5469 and 5461

Frequently Asked Questions on GCF of 5461 and 5469

1. What is the GCF of 5461 and 5469?

Answer: GCF of 5461 and 5469 is 1.

2. What are the Factors of 5461?

Answer: Factors of 5461 are 1, 43, 127, 5461. There are 4 integers that are factors of 5461. The greatest factor of 5461 is 5461.

3. What are the Factors of 5469?

Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.

4. How to Find the GCF of 5461 and 5469?

Answer:

Greatest Common Factor of 5461 and 5469 = 1

Step 1: Find the prime factorization of 5461

5461 = 43 x 127

Step 2: Find the prime factorization of 5469

5469 = 3 x 1823

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 5461 and 5469 is 1