Greatest Common Factor of 47299 and 47302

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, 47302 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47299 and 47302 is 1.

GCF(47299,47302) = 1

GCF of 47299 and 47302

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

GCF of:
and

Greatest Common Factor of 47299 and 47302

GCF of 47299 and 47302 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 47302


2 47302
67 23651
353 353
1

Prime factors of 47302 are 2,67,353. Prime factorization of 47302 in exponential form is:

47302 = 21×671×3531

∴ So by taking common prime factors GCF of 47299 and 47302 is 1

Greatest Common Factor of 47299 and 47302 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 47302

List of positive integer factors of 47302 that divides 47302 without a remainder.

1,2,67,134,353,706,23651,47302

Greatest Common Factor

We found the factors and prime factorization of 47299 and 47302. The biggest common factor number is the GCF number.
So the greatest common factor 47299 and 47302 is 1.

Also check out the Least Common Multiple of 47299 and 47302

Properties of GCF 47299 and 47302

(i) The GCF of 47299 and 47302 is associative

GCF of 47299 and 47302 = GCF of 47302 and 47299

Related Greatest Common Factor of 47299

Related Greatest Common Factor of 47302

Frequently Asked Questions on GCF of 47299 and 47302

1. What is the GCF of 47299 and 47302?

Answer: GCF of 47299 and 47302 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 47302?

Answer: Factors of 47302 are 1, 2, 67, 134, 353, 706, 23651, 47302. There are 8 integers that are factors of 47302. The greatest factor of 47302 is 47302.

4. How to Find the GCF of 47299 and 47302?

Answer:

Greatest Common Factor of 47299 and 47302 = 1

Step 1: Find the prime factorization of 47299

47299 = 7 x 29 x 233

Step 2: Find the prime factorization of 47302

47302 = 2 x 67 x 353

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 47302 is 1