Greatest Common Factor of 84340 and 84348

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 84340, 84348 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 84340 and 84348 is 4.

GCF(84340,84348) = 4

GCF of 84340 and 84348

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

GCF of:
and

Greatest Common Factor of 84340 and 84348

GCF of 84340 and 84348 is 4

Prime Factorization of 84340


2 84340
2 42170
5 21085
4217 4217
1

Prime factors of 84340 are 2,5,4217. Prime factorization of 84340 in exponential form is:

84340 = 22×51×42171

Prime Factorization of 84348


2 84348
2 42174
3 21087
3 7029
3 2343
11 781
71 71
1

Prime factors of 84348 are 2,3,11,71. Prime factorization of 84348 in exponential form is:

84348 = 22×33×111×711

∴ So by taking common prime factors GCF of 84340 and 84348 is 4

Greatest Common Factor of 84340 and 84348 by matching factors method

Factors of 84340

List of positive integer factors of 84340 that divides 84340 without a remainder.

1,2,4,5,10,20,4217,8434,16868,21085,42170,84340

Factors of 84348

List of positive integer factors of 84348 that divides 84348 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,71,99,108,132,142,198,213,284,297,396,426,594,639,781,852,1188,1278,1562,1917,2343,2556,3124,3834,4686,7029,7668,9372,14058,21087,28116,42174,84348

Greatest Common Factor

We found the factors and prime factorization of 84340 and 84348. The biggest common factor number is the GCF number.
So the greatest common factor 84340 and 84348 is 4.

Also check out the Least Common Multiple of 84340 and 84348

Properties of GCF 84340 and 84348

(i) The GCF of 84340 and 84348 is associative

GCF of 84340 and 84348 = GCF of 84348 and 84340

Related Greatest Common Factor of 84340

Related Greatest Common Factor of 84348

Frequently Asked Questions on GCF of 84340 and 84348

1. What is the GCF of 84340 and 84348?

Answer: GCF of 84340 and 84348 is 4.

2. What are the Factors of 84340?

Answer: Factors of 84340 are 1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340. There are 12 integers that are factors of 84340. The greatest factor of 84340 is 84340.

3. What are the Factors of 84348?

Answer: Factors of 84348 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 71, 99, 108, 132, 142, 198, 213, 284, 297, 396, 426, 594, 639, 781, 852, 1188, 1278, 1562, 1917, 2343, 2556, 3124, 3834, 4686, 7029, 7668, 9372, 14058, 21087, 28116, 42174, 84348. There are 48 integers that are factors of 84348. The greatest factor of 84348 is 84348.

4. How to Find the GCF of 84340 and 84348?

Answer:

Greatest Common Factor of 84340 and 84348 = 4

Step 1: Find the prime factorization of 84340

84340 = 2 x 2 x 5 x 4217

Step 2: Find the prime factorization of 84348

84348 = 2 x 2 x 3 x 3 x 3 x 11 x 71

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 84340 and 84348 is 4