Greatest Common Factor of 4234 and 4237

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 4234, 4237 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4234 and 4237 is 1.

GCF(4234,4237) = 1

GCF of 4234 and 4237

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

GCF of:
and

Greatest Common Factor of 4234 and 4237

GCF of 4234 and 4237 is 1

Prime Factorization of 4234


2 4234
29 2117
73 73
1

Prime factors of 4234 are 2,29,73. Prime factorization of 4234 in exponential form is:

4234 = 21×291×731

Prime Factorization of 4237


19 4237
223 223
1

Prime factors of 4237 are 19,223. Prime factorization of 4237 in exponential form is:

4237 = 191×2231

∴ So by taking common prime factors GCF of 4234 and 4237 is 1

Greatest Common Factor of 4234 and 4237 by matching factors method

Factors of 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1,2,29,58,73,146,2117,4234

Factors of 4237

List of positive integer factors of 4237 that divides 4237 without a remainder.

1,19,223,4237

Greatest Common Factor

We found the factors and prime factorization of 4234 and 4237. The biggest common factor number is the GCF number.
So the greatest common factor 4234 and 4237 is 1.

Also check out the Least Common Multiple of 4234 and 4237

Properties of GCF 4234 and 4237

(i) The GCF of 4234 and 4237 is associative

GCF of 4234 and 4237 = GCF of 4237 and 4234

Related Greatest Common Factor of 4234

Related Greatest Common Factor of 4237

Frequently Asked Questions on GCF of 4234 and 4237

1. What is the GCF of 4234 and 4237?

Answer: GCF of 4234 and 4237 is 1.

2. What are the Factors of 4234?

Answer: Factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234. There are 8 integers that are factors of 4234. The greatest factor of 4234 is 4234.

3. What are the Factors of 4237?

Answer: Factors of 4237 are 1, 19, 223, 4237. There are 4 integers that are factors of 4237. The greatest factor of 4237 is 4237.

4. How to Find the GCF of 4234 and 4237?

Answer:

Greatest Common Factor of 4234 and 4237 = 1

Step 1: Find the prime factorization of 4234

4234 = 2 x 29 x 73

Step 2: Find the prime factorization of 4237

4237 = 19 x 223

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 4234 and 4237 is 1