Greatest Common Factor of 21488 and 21495

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 21488, 21495 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21488 and 21495 is 1.

GCF(21488,21495) = 1

GCF of 21488 and 21495

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

GCF of:
and

Greatest Common Factor of 21488 and 21495

GCF of 21488 and 21495 is 1

Prime Factorization of 21488


2 21488
2 10744
2 5372
2 2686
17 1343
79 79
1

Prime factors of 21488 are 2,17,79. Prime factorization of 21488 in exponential form is:

21488 = 24×171×791

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

∴ So by taking common prime factors GCF of 21488 and 21495 is 1

Greatest Common Factor of 21488 and 21495 by matching factors method

Factors of 21488

List of positive integer factors of 21488 that divides 21488 without a remainder.

1,2,4,8,16,17,34,68,79,136,158,272,316,632,1264,1343,2686,5372,10744,21488

Factors of 21495

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

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

Greatest Common Factor

We found the factors and prime factorization of 21488 and 21495. The biggest common factor number is the GCF number.
So the greatest common factor 21488 and 21495 is 1.

Also check out the Least Common Multiple of 21488 and 21495

Properties of GCF 21488 and 21495

(i) The GCF of 21488 and 21495 is associative

GCF of 21488 and 21495 = GCF of 21495 and 21488

Related Greatest Common Factor of 21488

Related Greatest Common Factor of 21495

Frequently Asked Questions on GCF of 21488 and 21495

1. What is the GCF of 21488 and 21495?

Answer: GCF of 21488 and 21495 is 1.

2. What are the Factors of 21488?

Answer: Factors of 21488 are 1, 2, 4, 8, 16, 17, 34, 68, 79, 136, 158, 272, 316, 632, 1264, 1343, 2686, 5372, 10744, 21488. There are 20 integers that are factors of 21488. The greatest factor of 21488 is 21488.

3. 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.

4. How to Find the GCF of 21488 and 21495?

Answer:

Greatest Common Factor of 21488 and 21495 = 1

Step 1: Find the prime factorization of 21488

21488 = 2 x 2 x 2 x 2 x 17 x 79

Step 2: Find the prime factorization of 21495

21495 = 3 x 5 x 1433

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 21488 and 21495 is 1