Greatest Common Factor of 838 and 840

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 838, 840 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 838 and 840 is 2.

GCF(838,840) = 2

GCF of 838 and 840

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

GCF of:
and

Greatest Common Factor of 838 and 840

GCF of 838 and 840 is 2

Prime Factorization of 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

Prime Factorization of 840


2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 840 are 2,3,5,7. Prime factorization of 840 in exponential form is:

840 = 23×31×51×71

∴ So by taking common prime factors GCF of 838 and 840 is 2

Greatest Common Factor of 838 and 840 by matching factors method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors and prime factorization of 838 and 840. The biggest common factor number is the GCF number.
So the greatest common factor 838 and 840 is 2.

Also check out the Least Common Multiple of 838 and 840

Properties of GCF 838 and 840

(i) The GCF of 838 and 840 is associative

GCF of 838 and 840 = GCF of 840 and 838

Related Greatest Common Factor of 838

Related Greatest Common Factor of 840

Frequently Asked Questions on GCF of 838 and 840

1. What is the GCF of 838 and 840?

Answer: GCF of 838 and 840 is 2.

2. What are the Factors of 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

3. What are the Factors of 840?

Answer: Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840. There are 32 integers that are factors of 840. The greatest factor of 840 is 840.

4. How to Find the GCF of 838 and 840?

Answer:

Greatest Common Factor of 838 and 840 = 2

Step 1: Find the prime factorization of 838

838 = 2 x 419

Step 2: Find the prime factorization of 840

840 = 2 x 2 x 2 x 3 x 5 x 7

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

GCF = 2

Step 4: Therefore, the greatest common factor of 838 and 840 is 2