Greatest Common Factor of 21461 and 21467

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 21461, 21467 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21461 and 21467 is 1.

GCF(21461,21467) = 1

GCF of 21461 and 21467

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

GCF of:
and

Greatest Common Factor of 21461 and 21467

GCF of 21461 and 21467 is 1

Prime Factorization of 21461


11 21461
1951 1951
1

Prime factors of 21461 are 11,1951. Prime factorization of 21461 in exponential form is:

21461 = 111×19511

Prime Factorization of 21467


21467 21467
1

Prime factors of 21467 are 21467. Prime factorization of 21467 in exponential form is:

21467 = 214671

∴ So by taking common prime factors GCF of 21461 and 21467 is 1

Greatest Common Factor of 21461 and 21467 by matching factors method

Factors of 21461

List of positive integer factors of 21461 that divides 21461 without a remainder.

1,11,1951,21461

Factors of 21467

List of positive integer factors of 21467 that divides 21467 without a remainder.

1,21467

Greatest Common Factor

We found the factors and prime factorization of 21461 and 21467. The biggest common factor number is the GCF number.
So the greatest common factor 21461 and 21467 is 1.

Also check out the Least Common Multiple of 21461 and 21467

Properties of GCF 21461 and 21467

(i) The GCF of 21461 and 21467 is associative

GCF of 21461 and 21467 = GCF of 21467 and 21461

Related Greatest Common Factor of 21461

Related Greatest Common Factor of 21467

Frequently Asked Questions on GCF of 21461 and 21467

1. What is the GCF of 21461 and 21467?

Answer: GCF of 21461 and 21467 is 1.

2. What are the Factors of 21461?

Answer: Factors of 21461 are 1, 11, 1951, 21461. There are 4 integers that are factors of 21461. The greatest factor of 21461 is 21461.

3. What are the Factors of 21467?

Answer: Factors of 21467 are 1, 21467. There are 2 integers that are factors of 21467. The greatest factor of 21467 is 21467.

4. How to Find the GCF of 21461 and 21467?

Answer:

Greatest Common Factor of 21461 and 21467 = 1

Step 1: Find the prime factorization of 21461

21461 = 11 x 1951

Step 2: Find the prime factorization of 21467

21467 = 21467

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 21461 and 21467 is 1