Greatest Common Factor of 8122 and 8124

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 8122, 8124 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8122 and 8124 is 2.

GCF(8122,8124) = 2

GCF of 8122 and 8124

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

GCF of:
and

Greatest Common Factor of 8122 and 8124

GCF of 8122 and 8124 is 2

Prime Factorization of 8122


2 8122
31 4061
131 131
1

Prime factors of 8122 are 2,31,131. Prime factorization of 8122 in exponential form is:

8122 = 21×311×1311

Prime Factorization of 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2,3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

∴ So by taking common prime factors GCF of 8122 and 8124 is 2

Greatest Common Factor of 8122 and 8124 by matching factors method

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1,2,31,62,131,262,4061,8122

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors and prime factorization of 8122 and 8124. The biggest common factor number is the GCF number.
So the greatest common factor 8122 and 8124 is 2.

Also check out the Least Common Multiple of 8122 and 8124

Properties of GCF 8122 and 8124

(i) The GCF of 8122 and 8124 is associative

GCF of 8122 and 8124 = GCF of 8124 and 8122

Related Greatest Common Factor of 8122

Related Greatest Common Factor of 8124

Frequently Asked Questions on GCF of 8122 and 8124

1. What is the GCF of 8122 and 8124?

Answer: GCF of 8122 and 8124 is 2.

2. What are the Factors of 8122?

Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.

3. What are the Factors of 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

4. How to Find the GCF of 8122 and 8124?

Answer:

Greatest Common Factor of 8122 and 8124 = 2

Step 1: Find the prime factorization of 8122

8122 = 2 x 31 x 131

Step 2: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

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 8122 and 8124 is 2