Greatest Common Factor of 21473 and 21477

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 21473, 21477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21473 and 21477 is 1.

GCF(21473,21477) = 1

GCF of 21473 and 21477

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

GCF of:
and

Greatest Common Factor of 21473 and 21477

GCF of 21473 and 21477 is 1

Prime Factorization of 21473


109 21473
197 197
1

Prime factors of 21473 are 109,197. Prime factorization of 21473 in exponential form is:

21473 = 1091×1971

Prime Factorization of 21477


3 21477
7159 7159
1

Prime factors of 21477 are 3,7159. Prime factorization of 21477 in exponential form is:

21477 = 31×71591

∴ So by taking common prime factors GCF of 21473 and 21477 is 1

Greatest Common Factor of 21473 and 21477 by matching factors method

Factors of 21473

List of positive integer factors of 21473 that divides 21473 without a remainder.

1,109,197,21473

Factors of 21477

List of positive integer factors of 21477 that divides 21477 without a remainder.

1,3,7159,21477

Greatest Common Factor

We found the factors and prime factorization of 21473 and 21477. The biggest common factor number is the GCF number.
So the greatest common factor 21473 and 21477 is 1.

Also check out the Least Common Multiple of 21473 and 21477

Properties of GCF 21473 and 21477

(i) The GCF of 21473 and 21477 is associative

GCF of 21473 and 21477 = GCF of 21477 and 21473

Frequently Asked Questions on GCF of 21473 and 21477

1. What is the GCF of 21473 and 21477?

Answer: GCF of 21473 and 21477 is 1.

2. What are the Factors of 21473?

Answer: Factors of 21473 are 1, 109, 197, 21473. There are 4 integers that are factors of 21473. The greatest factor of 21473 is 21473.

3. What are the Factors of 21477?

Answer: Factors of 21477 are 1, 3, 7159, 21477. There are 4 integers that are factors of 21477. The greatest factor of 21477 is 21477.

4. How to Find the GCF of 21473 and 21477?

Answer:

Greatest Common Factor of 21473 and 21477 = 1

Step 1: Find the prime factorization of 21473

21473 = 109 x 197

Step 2: Find the prime factorization of 21477

21477 = 3 x 7159

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 21473 and 21477 is 1