Greatest Common Factor of 5100 and 5105

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, 5105 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5100 and 5105 is 5.

GCF(5100,5105) = 5

GCF of 5100 and 5105

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

GCF of:
and

Greatest Common Factor of 5100 and 5105

GCF of 5100 and 5105 is 5

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 5105


5 5105
1021 1021
1

Prime factors of 5105 are 5,1021. Prime factorization of 5105 in exponential form is:

5105 = 51×10211

∴ So by taking common prime factors GCF of 5100 and 5105 is 5

Greatest Common Factor of 5100 and 5105 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 5105

List of positive integer factors of 5105 that divides 5105 without a remainder.

1,5,1021,5105

Greatest Common Factor

We found the factors and prime factorization of 5100 and 5105. The biggest common factor number is the GCF number.
So the greatest common factor 5100 and 5105 is 5.

Also check out the Least Common Multiple of 5100 and 5105

Properties of GCF 5100 and 5105

(i) The GCF of 5100 and 5105 is associative

GCF of 5100 and 5105 = GCF of 5105 and 5100

Related Greatest Common Factor of 5100

Related Greatest Common Factor of 5105

Frequently Asked Questions on GCF of 5100 and 5105

1. What is the GCF of 5100 and 5105?

Answer: GCF of 5100 and 5105 is 5.

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 5105?

Answer: Factors of 5105 are 1, 5, 1021, 5105. There are 4 integers that are factors of 5105. The greatest factor of 5105 is 5105.

4. How to Find the GCF of 5100 and 5105?

Answer:

Greatest Common Factor of 5100 and 5105 = 5

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 5105

5105 = 5 x 1021

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5100 and 5105 is 5