Greatest Common Factor of 5104 and 5112

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 5104, 5112 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5104 and 5112 is 8.

GCF(5104,5112) = 8

GCF of 5104 and 5112

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

GCF of:
and

Greatest Common Factor of 5104 and 5112

GCF of 5104 and 5112 is 8

Prime Factorization of 5104


2 5104
2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 5104 are 2,11,29. Prime factorization of 5104 in exponential form is:

5104 = 24×111×291

Prime Factorization of 5112


2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 5112 are 2,3,71. Prime factorization of 5112 in exponential form is:

5112 = 23×32×711

∴ So by taking common prime factors GCF of 5104 and 5112 is 8

Greatest Common Factor of 5104 and 5112 by matching factors method

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104

Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112

Greatest Common Factor

We found the factors and prime factorization of 5104 and 5112. The biggest common factor number is the GCF number.
So the greatest common factor 5104 and 5112 is 8.

Also check out the Least Common Multiple of 5104 and 5112

Properties of GCF 5104 and 5112

(i) The GCF of 5104 and 5112 is associative

GCF of 5104 and 5112 = GCF of 5112 and 5104

Related Greatest Common Factor of 5104

Related Greatest Common Factor of 5112

Frequently Asked Questions on GCF of 5104 and 5112

1. What is the GCF of 5104 and 5112?

Answer: GCF of 5104 and 5112 is 8.

2. What are the Factors of 5104?

Answer: Factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104. There are 20 integers that are factors of 5104. The greatest factor of 5104 is 5104.

3. What are the Factors of 5112?

Answer: Factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112. There are 24 integers that are factors of 5112. The greatest factor of 5112 is 5112.

4. How to Find the GCF of 5104 and 5112?

Answer:

Greatest Common Factor of 5104 and 5112 = 8

Step 1: Find the prime factorization of 5104

5104 = 2 x 2 x 2 x 2 x 11 x 29

Step 2: Find the prime factorization of 5112

5112 = 2 x 2 x 2 x 3 x 3 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 x 2 = 8

Step 4: Therefore, the greatest common factor of 5104 and 5112 is 8