Greatest Common Factor of 21495 and 21502

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 21495, 21502 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21495 and 21502 is 1.

GCF(21495,21502) = 1

GCF of 21495 and 21502

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

GCF of:
and

Greatest Common Factor of 21495 and 21502

GCF of 21495 and 21502 is 1

Prime Factorization of 21495


3 21495
5 7165
1433 1433
1

Prime factors of 21495 are 3,5,1433. Prime factorization of 21495 in exponential form is:

21495 = 31×51×14331

Prime Factorization of 21502


2 21502
13 10751
827 827
1

Prime factors of 21502 are 2,13,827. Prime factorization of 21502 in exponential form is:

21502 = 21×131×8271

∴ So by taking common prime factors GCF of 21495 and 21502 is 1

Greatest Common Factor of 21495 and 21502 by matching factors method

Factors of 21495

List of positive integer factors of 21495 that divides 21495 without a remainder.

1,3,5,15,1433,4299,7165,21495

Factors of 21502

List of positive integer factors of 21502 that divides 21502 without a remainder.

1,2,13,26,827,1654,10751,21502

Greatest Common Factor

We found the factors and prime factorization of 21495 and 21502. The biggest common factor number is the GCF number.
So the greatest common factor 21495 and 21502 is 1.

Also check out the Least Common Multiple of 21495 and 21502

Properties of GCF 21495 and 21502

(i) The GCF of 21495 and 21502 is associative

GCF of 21495 and 21502 = GCF of 21502 and 21495

Related Greatest Common Factor of 21495

Related Greatest Common Factor of 21502

Frequently Asked Questions on GCF of 21495 and 21502

1. What is the GCF of 21495 and 21502?

Answer: GCF of 21495 and 21502 is 1.

2. What are the Factors of 21495?

Answer: Factors of 21495 are 1, 3, 5, 15, 1433, 4299, 7165, 21495. There are 8 integers that are factors of 21495. The greatest factor of 21495 is 21495.

3. What are the Factors of 21502?

Answer: Factors of 21502 are 1, 2, 13, 26, 827, 1654, 10751, 21502. There are 8 integers that are factors of 21502. The greatest factor of 21502 is 21502.

4. How to Find the GCF of 21495 and 21502?

Answer:

Greatest Common Factor of 21495 and 21502 = 1

Step 1: Find the prime factorization of 21495

21495 = 3 x 5 x 1433

Step 2: Find the prime factorization of 21502

21502 = 2 x 13 x 827

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 21495 and 21502 is 1