Greatest Common Factor of 8108 and 8112

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 8108, 8112 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8108 and 8112 is 4.

GCF(8108,8112) = 4

GCF of 8108 and 8112

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

GCF of:
and

Greatest Common Factor of 8108 and 8112

GCF of 8108 and 8112 is 4

Prime Factorization of 8108


2 8108
2 4054
2027 2027
1

Prime factors of 8108 are 2,2027. Prime factorization of 8108 in exponential form is:

8108 = 22×20271

Prime Factorization of 8112


2 8112
2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 8112 are 2,3,13. Prime factorization of 8112 in exponential form is:

8112 = 24×31×132

∴ So by taking common prime factors GCF of 8108 and 8112 is 4

Greatest Common Factor of 8108 and 8112 by matching factors method

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1,2,4,2027,4054,8108

Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112

Greatest Common Factor

We found the factors and prime factorization of 8108 and 8112. The biggest common factor number is the GCF number.
So the greatest common factor 8108 and 8112 is 4.

Also check out the Least Common Multiple of 8108 and 8112

Properties of GCF 8108 and 8112

(i) The GCF of 8108 and 8112 is associative

GCF of 8108 and 8112 = GCF of 8112 and 8108

Related Greatest Common Factor of 8108

Related Greatest Common Factor of 8112

Frequently Asked Questions on GCF of 8108 and 8112

1. What is the GCF of 8108 and 8112?

Answer: GCF of 8108 and 8112 is 4.

2. What are the Factors of 8108?

Answer: Factors of 8108 are 1, 2, 4, 2027, 4054, 8108. There are 6 integers that are factors of 8108. The greatest factor of 8108 is 8108.

3. What are the Factors of 8112?

Answer: Factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112. There are 30 integers that are factors of 8112. The greatest factor of 8112 is 8112.

4. How to Find the GCF of 8108 and 8112?

Answer:

Greatest Common Factor of 8108 and 8112 = 4

Step 1: Find the prime factorization of 8108

8108 = 2 x 2 x 2027

Step 2: Find the prime factorization of 8112

8112 = 2 x 2 x 2 x 2 x 3 x 13 x 13

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 8108 and 8112 is 4