Greatest Common Factor of 707 and 713

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 707, 713 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 707 and 713 is 1.

GCF(707,713) = 1

GCF of 707 and 713

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

GCF of:
and

Greatest Common Factor of 707 and 713

GCF of 707 and 713 is 1

Prime Factorization of 707


7 707
101 101
1

Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:

707 = 71×1011

Prime Factorization of 713


23 713
31 31
1

Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:

713 = 231×311

∴ So by taking common prime factors GCF of 707 and 713 is 1

Greatest Common Factor of 707 and 713 by matching factors method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors and prime factorization of 707 and 713. The biggest common factor number is the GCF number.
So the greatest common factor 707 and 713 is 1.

Also check out the Least Common Multiple of 707 and 713

Properties of GCF 707 and 713

(i) The GCF of 707 and 713 is associative

GCF of 707 and 713 = GCF of 713 and 707

Related Greatest Common Factor of 707

Related Greatest Common Factor of 713

Frequently Asked Questions on GCF of 707 and 713

1. What is the GCF of 707 and 713?

Answer: GCF of 707 and 713 is 1.

2. What are the Factors of 707?

Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.

3. What are the Factors of 713?

Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.

4. How to Find the GCF of 707 and 713?

Answer:

Greatest Common Factor of 707 and 713 = 1

Step 1: Find the prime factorization of 707

707 = 7 x 101

Step 2: Find the prime factorization of 713

713 = 23 x 31

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 707 and 713 is 1