Greatest Common Factor of 5104 and 5108

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, 5108 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5104 and 5108 is 4.

GCF(5104,5108) = 4

GCF of 5104 and 5108

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

GCF of:
and

Greatest Common Factor of 5104 and 5108

GCF of 5104 and 5108 is 4

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 5108


2 5108
2 2554
1277 1277
1

Prime factors of 5108 are 2,1277. Prime factorization of 5108 in exponential form is:

5108 = 22×12771

∴ So by taking common prime factors GCF of 5104 and 5108 is 4

Greatest Common Factor of 5104 and 5108 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 5108

List of positive integer factors of 5108 that divides 5108 without a remainder.

1,2,4,1277,2554,5108

Greatest Common Factor

We found the factors and prime factorization of 5104 and 5108. The biggest common factor number is the GCF number.
So the greatest common factor 5104 and 5108 is 4.

Also check out the Least Common Multiple of 5104 and 5108

Properties of GCF 5104 and 5108

(i) The GCF of 5104 and 5108 is associative

GCF of 5104 and 5108 = GCF of 5108 and 5104

Related Greatest Common Factor of 5104

Related Greatest Common Factor of 5108

Frequently Asked Questions on GCF of 5104 and 5108

1. What is the GCF of 5104 and 5108?

Answer: GCF of 5104 and 5108 is 4.

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 5108?

Answer: Factors of 5108 are 1, 2, 4, 1277, 2554, 5108. There are 6 integers that are factors of 5108. The greatest factor of 5108 is 5108.

4. How to Find the GCF of 5104 and 5108?

Answer:

Greatest Common Factor of 5104 and 5108 = 4

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 5108

5108 = 2 x 2 x 1277

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 5104 and 5108 is 4