Greatest Common Factor of 235 and 237

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 235, 237 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 235 and 237 is 1.

GCF(235,237) = 1

GCF of 235 and 237

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

GCF of:
and

Greatest Common Factor of 235 and 237

GCF of 235 and 237 is 1

Prime Factorization of 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

Prime Factorization of 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

∴ So by taking common prime factors GCF of 235 and 237 is 1

Greatest Common Factor of 235 and 237 by matching factors method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors and prime factorization of 235 and 237. The biggest common factor number is the GCF number.
So the greatest common factor 235 and 237 is 1.

Also check out the Least Common Multiple of 235 and 237

Properties of GCF 235 and 237

(i) The GCF of 235 and 237 is associative

GCF of 235 and 237 = GCF of 237 and 235

Frequently Asked Questions on GCF of 235 and 237

1. What is the GCF of 235 and 237?

Answer: GCF of 235 and 237 is 1.

2. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

3. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

4. How to Find the GCF of 235 and 237?

Answer:

Greatest Common Factor of 235 and 237 = 1

Step 1: Find the prime factorization of 235

235 = 5 x 47

Step 2: Find the prime factorization of 237

237 = 3 x 79

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 235 and 237 is 1