Greatest Common Factor of 4104 and 4112

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 4104, 4112 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4104 and 4112 is 8.

GCF(4104,4112) = 8

GCF of 4104 and 4112

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

GCF of:
and

Greatest Common Factor of 4104 and 4112

GCF of 4104 and 4112 is 8

Prime Factorization of 4104


2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 4104 are 2,3,19. Prime factorization of 4104 in exponential form is:

4104 = 23×33×191

Prime Factorization of 4112


2 4112
2 2056
2 1028
2 514
257 257
1

Prime factors of 4112 are 2,257. Prime factorization of 4112 in exponential form is:

4112 = 24×2571

∴ So by taking common prime factors GCF of 4104 and 4112 is 8

Greatest Common Factor of 4104 and 4112 by matching factors method

Factors of 4104

List of positive integer factors of 4104 that divides 4104 without a remainder.

1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,108,114,152,171,216,228,342,456,513,684,1026,1368,2052,4104

Factors of 4112

List of positive integer factors of 4112 that divides 4112 without a remainder.

1,2,4,8,16,257,514,1028,2056,4112

Greatest Common Factor

We found the factors and prime factorization of 4104 and 4112. The biggest common factor number is the GCF number.
So the greatest common factor 4104 and 4112 is 8.

Also check out the Least Common Multiple of 4104 and 4112

Properties of GCF 4104 and 4112

(i) The GCF of 4104 and 4112 is associative

GCF of 4104 and 4112 = GCF of 4112 and 4104

Related Greatest Common Factor of 4104

Related Greatest Common Factor of 4112

Frequently Asked Questions on GCF of 4104 and 4112

1. What is the GCF of 4104 and 4112?

Answer: GCF of 4104 and 4112 is 8.

2. What are the Factors of 4104?

Answer: Factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. There are 32 integers that are factors of 4104. The greatest factor of 4104 is 4104.

3. What are the Factors of 4112?

Answer: Factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112. There are 10 integers that are factors of 4112. The greatest factor of 4112 is 4112.

4. How to Find the GCF of 4104 and 4112?

Answer:

Greatest Common Factor of 4104 and 4112 = 8

Step 1: Find the prime factorization of 4104

4104 = 2 x 2 x 2 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 4112

4112 = 2 x 2 x 2 x 2 x 257

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4104 and 4112 is 8