Greatest Common Factor of 21507 and 21511

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 21507, 21511 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21507 and 21511 is 1.

GCF(21507,21511) = 1

GCF of 21507 and 21511

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

GCF of:
and

Greatest Common Factor of 21507 and 21511

GCF of 21507 and 21511 is 1

Prime Factorization of 21507


3 21507
67 7169
107 107
1

Prime factors of 21507 are 3,67,107. Prime factorization of 21507 in exponential form is:

21507 = 31×671×1071

Prime Factorization of 21511


7 21511
7 3073
439 439
1

Prime factors of 21511 are 7,439. Prime factorization of 21511 in exponential form is:

21511 = 72×4391

∴ So by taking common prime factors GCF of 21507 and 21511 is 1

Greatest Common Factor of 21507 and 21511 by matching factors method

Factors of 21507

List of positive integer factors of 21507 that divides 21507 without a remainder.

1,3,67,107,201,321,7169,21507

Factors of 21511

List of positive integer factors of 21511 that divides 21511 without a remainder.

1,7,49,439,3073,21511

Greatest Common Factor

We found the factors and prime factorization of 21507 and 21511. The biggest common factor number is the GCF number.
So the greatest common factor 21507 and 21511 is 1.

Also check out the Least Common Multiple of 21507 and 21511

Properties of GCF 21507 and 21511

(i) The GCF of 21507 and 21511 is associative

GCF of 21507 and 21511 = GCF of 21511 and 21507

Related Greatest Common Factor of 21507

Related Greatest Common Factor of 21511

Frequently Asked Questions on GCF of 21507 and 21511

1. What is the GCF of 21507 and 21511?

Answer: GCF of 21507 and 21511 is 1.

2. What are the Factors of 21507?

Answer: Factors of 21507 are 1, 3, 67, 107, 201, 321, 7169, 21507. There are 8 integers that are factors of 21507. The greatest factor of 21507 is 21507.

3. What are the Factors of 21511?

Answer: Factors of 21511 are 1, 7, 49, 439, 3073, 21511. There are 6 integers that are factors of 21511. The greatest factor of 21511 is 21511.

4. How to Find the GCF of 21507 and 21511?

Answer:

Greatest Common Factor of 21507 and 21511 = 1

Step 1: Find the prime factorization of 21507

21507 = 3 x 67 x 107

Step 2: Find the prime factorization of 21511

21511 = 7 x 7 x 439

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 21507 and 21511 is 1