Greatest Common Factor of 21488 and 21492

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, 21492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21488 and 21492 is 4.

GCF(21488,21492) = 4

GCF of 21488 and 21492

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

GCF of:
and

Greatest Common Factor of 21488 and 21492

GCF of 21488 and 21492 is 4

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 21492


2 21492
2 10746
3 5373
3 1791
3 597
199 199
1

Prime factors of 21492 are 2,3,199. Prime factorization of 21492 in exponential form is:

21492 = 22×33×1991

∴ So by taking common prime factors GCF of 21488 and 21492 is 4

Greatest Common Factor of 21488 and 21492 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 21492

List of positive integer factors of 21492 that divides 21492 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108,199,398,597,796,1194,1791,2388,3582,5373,7164,10746,21492

Greatest Common Factor

We found the factors and prime factorization of 21488 and 21492. The biggest common factor number is the GCF number.
So the greatest common factor 21488 and 21492 is 4.

Also check out the Least Common Multiple of 21488 and 21492

Properties of GCF 21488 and 21492

(i) The GCF of 21488 and 21492 is associative

GCF of 21488 and 21492 = GCF of 21492 and 21488

Related Greatest Common Factor of 21488

Related Greatest Common Factor of 21492

Frequently Asked Questions on GCF of 21488 and 21492

1. What is the GCF of 21488 and 21492?

Answer: GCF of 21488 and 21492 is 4.

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 21492?

Answer: Factors of 21492 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 5373, 7164, 10746, 21492. There are 24 integers that are factors of 21492. The greatest factor of 21492 is 21492.

4. How to Find the GCF of 21488 and 21492?

Answer:

Greatest Common Factor of 21488 and 21492 = 4

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 21492

21492 = 2 x 2 x 3 x 3 x 3 x 199

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 21488 and 21492 is 4