Greatest Common Factor of 15200 and 15207

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 15200, 15207 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15200 and 15207 is 1.

GCF(15200,15207) = 1

GCF of 15200 and 15207

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

GCF of:
and

Greatest Common Factor of 15200 and 15207

GCF of 15200 and 15207 is 1

Prime Factorization of 15200


2 15200
2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 15200 are 2,5,19. Prime factorization of 15200 in exponential form is:

15200 = 25×52×191

Prime Factorization of 15207


3 15207
37 5069
137 137
1

Prime factors of 15207 are 3,37,137. Prime factorization of 15207 in exponential form is:

15207 = 31×371×1371

∴ So by taking common prime factors GCF of 15200 and 15207 is 1

Greatest Common Factor of 15200 and 15207 by matching factors method

Factors of 15200

List of positive integer factors of 15200 that divides 15200 without a remainder.

1,2,4,5,8,10,16,19,20,25,32,38,40,50,76,80,95,100,152,160,190,200,304,380,400,475,608,760,800,950,1520,1900,3040,3800,7600,15200

Factors of 15207

List of positive integer factors of 15207 that divides 15207 without a remainder.

1,3,37,111,137,411,5069,15207

Greatest Common Factor

We found the factors and prime factorization of 15200 and 15207. The biggest common factor number is the GCF number.
So the greatest common factor 15200 and 15207 is 1.

Also check out the Least Common Multiple of 15200 and 15207

Properties of GCF 15200 and 15207

(i) The GCF of 15200 and 15207 is associative

GCF of 15200 and 15207 = GCF of 15207 and 15200

Related Greatest Common Factor of 15200

Related Greatest Common Factor of 15207

Frequently Asked Questions on GCF of 15200 and 15207

1. What is the GCF of 15200 and 15207?

Answer: GCF of 15200 and 15207 is 1.

2. What are the Factors of 15200?

Answer: Factors of 15200 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600, 15200. There are 36 integers that are factors of 15200. The greatest factor of 15200 is 15200.

3. What are the Factors of 15207?

Answer: Factors of 15207 are 1, 3, 37, 111, 137, 411, 5069, 15207. There are 8 integers that are factors of 15207. The greatest factor of 15207 is 15207.

4. How to Find the GCF of 15200 and 15207?

Answer:

Greatest Common Factor of 15200 and 15207 = 1

Step 1: Find the prime factorization of 15200

15200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 15207

15207 = 3 x 37 x 137

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 15200 and 15207 is 1