Greatest Common Factor of 239 and 247

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

• Greatest Common Factor of 239 and 247 by prime factorization method
• Greatest Common Factor of 239 and 247 by matching factors method

Prime Factorization of 239

Prime factors of 239 are 239. Prime factorization of 239 in exponential form is:

239 = 239¹

Prime Factorization of 247

Prime factors of 247 are 13.Prime factorization of 247 in exponential form is:

247 = 13¹×19¹

∴ So by taking common prime factors GCF of 239 and 247 is 1

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors and prime factorization of 239 and 247. The biggest common factor number is the GCF number.
So the greatest common factor 239 and 247 is 1.

Also check out the Least Common Multiple of 239 and 247

(i) The GCF of 239 and 247 is associative

GCF of 239 and 247 = GCF of 247 and 239

1. What is the GCF of 239 and 247?

Answer: GCF of 239 and 247 is 1.

2. What are the Factors of 239?

Answer: Factors of 239 are 1, 239. There are 2 integers that are factors of 239. The greatest factor of 239 is 239.

3. What are the Factors of 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

4. How to Find the GCF of 239 and 247?

Answer:

Greatest Common Factor of 239 and 247 = 1

Step 1: Find the prime factorization of 239

239 = 239

Step 2: Find the prime factorization of 247

247 = 13 x 19

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 239 and 247 is 1