Greatest Common Factor of 1299 and 1307

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 1299, 1307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1299 and 1307 is 1.

GCF(1299,1307) = 1

GCF of 1299 and 1307

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

GCF of:
and

Greatest Common Factor of 1299 and 1307

GCF of 1299 and 1307 is 1

Prime Factorization of 1299


3 1299
433 433
1

Prime factors of 1299 are 3,433. Prime factorization of 1299 in exponential form is:

1299 = 31×4331

Prime Factorization of 1307


1307 1307
1

Prime factors of 1307 are 1307. Prime factorization of 1307 in exponential form is:

1307 = 13071

∴ So by taking common prime factors GCF of 1299 and 1307 is 1

Greatest Common Factor of 1299 and 1307 by matching factors method

Factors of 1299

List of positive integer factors of 1299 that divides 1299 without a remainder.

1,3,433,1299

Factors of 1307

List of positive integer factors of 1307 that divides 1307 without a remainder.

1,1307

Greatest Common Factor

We found the factors and prime factorization of 1299 and 1307. The biggest common factor number is the GCF number.
So the greatest common factor 1299 and 1307 is 1.

Also check out the Least Common Multiple of 1299 and 1307

Properties of GCF 1299 and 1307

(i) The GCF of 1299 and 1307 is associative

GCF of 1299 and 1307 = GCF of 1307 and 1299

Related Greatest Common Factor of 1299

Related Greatest Common Factor of 1307

Frequently Asked Questions on GCF of 1299 and 1307

1. What is the GCF of 1299 and 1307?

Answer: GCF of 1299 and 1307 is 1.

2. What are the Factors of 1299?

Answer: Factors of 1299 are 1, 3, 433, 1299. There are 4 integers that are factors of 1299. The greatest factor of 1299 is 1299.

3. What are the Factors of 1307?

Answer: Factors of 1307 are 1, 1307. There are 2 integers that are factors of 1307. The greatest factor of 1307 is 1307.

4. How to Find the GCF of 1299 and 1307?

Answer:

Greatest Common Factor of 1299 and 1307 = 1

Step 1: Find the prime factorization of 1299

1299 = 3 x 433

Step 2: Find the prime factorization of 1307

1307 = 1307

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 1299 and 1307 is 1