Greatest Common Factor of 5100 and 5104

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 5100, 5104 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5100 and 5104 is 4.

GCF(5100,5104) = 4

GCF of 5100 and 5104

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

GCF of:
and

Greatest Common Factor of 5100 and 5104

GCF of 5100 and 5104 is 4

Prime Factorization of 5100


2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 5100 are 2,3,5,17. Prime factorization of 5100 in exponential form is:

5100 = 22×31×52×171

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

∴ So by taking common prime factors GCF of 5100 and 5104 is 4

Greatest Common Factor of 5100 and 5104 by matching factors method

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100

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

Greatest Common Factor

We found the factors and prime factorization of 5100 and 5104. The biggest common factor number is the GCF number.
So the greatest common factor 5100 and 5104 is 4.

Also check out the Least Common Multiple of 5100 and 5104

Properties of GCF 5100 and 5104

(i) The GCF of 5100 and 5104 is associative

GCF of 5100 and 5104 = GCF of 5104 and 5100

Related Greatest Common Factor of 5100

Related Greatest Common Factor of 5104

Frequently Asked Questions on GCF of 5100 and 5104

1. What is the GCF of 5100 and 5104?

Answer: GCF of 5100 and 5104 is 4.

2. What are the Factors of 5100?

Answer: Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. There are 36 integers that are factors of 5100. The greatest factor of 5100 is 5100.

3. 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.

4. How to Find the GCF of 5100 and 5104?

Answer:

Greatest Common Factor of 5100 and 5104 = 4

Step 1: Find the prime factorization of 5100

5100 = 2 x 2 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 5104

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

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 5100 and 5104 is 4