Greatest Common Factor of 10200 and 10207

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 10200, 10207 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10200 and 10207 is 1.

GCF(10200,10207) = 1

GCF of 10200 and 10207

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

GCF of:
and

Greatest Common Factor of 10200 and 10207

GCF of 10200 and 10207 is 1

Prime Factorization of 10200


2 10200
2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 10200 are 2,3,5,17. Prime factorization of 10200 in exponential form is:

10200 = 23×31×52×171

Prime Factorization of 10207


59 10207
173 173
1

Prime factors of 10207 are 59,173. Prime factorization of 10207 in exponential form is:

10207 = 591×1731

∴ So by taking common prime factors GCF of 10200 and 10207 is 1

Greatest Common Factor of 10200 and 10207 by matching factors method

Factors of 10200

List of positive integer factors of 10200 that divides 10200 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,25,30,34,40,50,51,60,68,75,85,100,102,120,136,150,170,200,204,255,300,340,408,425,510,600,680,850,1020,1275,1700,2040,2550,3400,5100,10200

Factors of 10207

List of positive integer factors of 10207 that divides 10207 without a remainder.

1,59,173,10207

Greatest Common Factor

We found the factors and prime factorization of 10200 and 10207. The biggest common factor number is the GCF number.
So the greatest common factor 10200 and 10207 is 1.

Also check out the Least Common Multiple of 10200 and 10207

Properties of GCF 10200 and 10207

(i) The GCF of 10200 and 10207 is associative

GCF of 10200 and 10207 = GCF of 10207 and 10200

Related Greatest Common Factor of 10200

Related Greatest Common Factor of 10207

Frequently Asked Questions on GCF of 10200 and 10207

1. What is the GCF of 10200 and 10207?

Answer: GCF of 10200 and 10207 is 1.

2. What are the Factors of 10200?

Answer: Factors of 10200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 136, 150, 170, 200, 204, 255, 300, 340, 408, 425, 510, 600, 680, 850, 1020, 1275, 1700, 2040, 2550, 3400, 5100, 10200. There are 48 integers that are factors of 10200. The greatest factor of 10200 is 10200.

3. What are the Factors of 10207?

Answer: Factors of 10207 are 1, 59, 173, 10207. There are 4 integers that are factors of 10207. The greatest factor of 10207 is 10207.

4. How to Find the GCF of 10200 and 10207?

Answer:

Greatest Common Factor of 10200 and 10207 = 1

Step 1: Find the prime factorization of 10200

10200 = 2 x 2 x 2 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 10207

10207 = 59 x 173

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10200 and 10207 is 1