Greatest Common Factor of 47299 and 47300

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 47299, 47300 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47299 and 47300 is 1.

GCF(47299,47300) = 1

GCF of 47299 and 47300

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

GCF of:
and

Greatest Common Factor of 47299 and 47300

GCF of 47299 and 47300 is 1

Prime Factorization of 47299


7 47299
29 6757
233 233
1

Prime factors of 47299 are 7,29,233. Prime factorization of 47299 in exponential form is:

47299 = 71×291×2331

Prime Factorization of 47300


2 47300
2 23650
5 11825
5 2365
11 473
43 43
1

Prime factors of 47300 are 2,5,11,43. Prime factorization of 47300 in exponential form is:

47300 = 22×52×111×431

∴ So by taking common prime factors GCF of 47299 and 47300 is 1

Greatest Common Factor of 47299 and 47300 by matching factors method

Factors of 47299

List of positive integer factors of 47299 that divides 47299 without a remainder.

1,7,29,203,233,1631,6757,47299

Factors of 47300

List of positive integer factors of 47300 that divides 47300 without a remainder.

1,2,4,5,10,11,20,22,25,43,44,50,55,86,100,110,172,215,220,275,430,473,550,860,946,1075,1100,1892,2150,2365,4300,4730,9460,11825,23650,47300

Greatest Common Factor

We found the factors and prime factorization of 47299 and 47300. The biggest common factor number is the GCF number.
So the greatest common factor 47299 and 47300 is 1.

Also check out the Least Common Multiple of 47299 and 47300

Properties of GCF 47299 and 47300

(i) The GCF of 47299 and 47300 is associative

GCF of 47299 and 47300 = GCF of 47300 and 47299

Related Greatest Common Factor of 47299

Related Greatest Common Factor of 47300

Frequently Asked Questions on GCF of 47299 and 47300

1. What is the GCF of 47299 and 47300?

Answer: GCF of 47299 and 47300 is 1.

2. What are the Factors of 47299?

Answer: Factors of 47299 are 1, 7, 29, 203, 233, 1631, 6757, 47299. There are 8 integers that are factors of 47299. The greatest factor of 47299 is 47299.

3. What are the Factors of 47300?

Answer: Factors of 47300 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 43, 44, 50, 55, 86, 100, 110, 172, 215, 220, 275, 430, 473, 550, 860, 946, 1075, 1100, 1892, 2150, 2365, 4300, 4730, 9460, 11825, 23650, 47300. There are 36 integers that are factors of 47300. The greatest factor of 47300 is 47300.

4. How to Find the GCF of 47299 and 47300?

Answer:

Greatest Common Factor of 47299 and 47300 = 1

Step 1: Find the prime factorization of 47299

47299 = 7 x 29 x 233

Step 2: Find the prime factorization of 47300

47300 = 2 x 2 x 5 x 5 x 11 x 43

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 47299 and 47300 is 1