Greatest Common Factor of 283 and 291

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

• Greatest Common Factor of 283 and 291 by prime factorization method
• Greatest Common Factor of 283 and 291 by matching factors method

Prime Factorization of 283

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 283¹

Prime Factorization of 291

Prime factors of 291 are 3.Prime factorization of 291 in exponential form is:

291 = 3¹×97¹

∴ So by taking common prime factors GCF of 283 and 291 is 1

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors and prime factorization of 283 and 291. The biggest common factor number is the GCF number.
So the greatest common factor 283 and 291 is 1.

Also check out the Least Common Multiple of 283 and 291

(i) The GCF of 283 and 291 is associative

GCF of 283 and 291 = GCF of 291 and 283

1. What is the GCF of 283 and 291?

Answer: GCF of 283 and 291 is 1.

2. What are the Factors of 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

3. What are the Factors of 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. How to Find the GCF of 283 and 291?

Answer:

Greatest Common Factor of 283 and 291 = 1

Step 1: Find the prime factorization of 283

283 = 283

Step 2: Find the prime factorization of 291

291 = 3 x 97

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 283 and 291 is 1