Greatest Common Factor of 700 and 707

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 700, 707 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 700 and 707 is 7.

GCF(700,707) = 7

GCF of 700 and 707

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

GCF of:
and

Greatest Common Factor of 700 and 707

GCF of 700 and 707 is 7

Prime Factorization of 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2,5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

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

∴ So by taking common prime factors GCF of 700 and 707 is 7

Greatest Common Factor of 700 and 707 by matching factors method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 707

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

1,7,101,707

Greatest Common Factor

We found the factors and prime factorization of 700 and 707. The biggest common factor number is the GCF number.
So the greatest common factor 700 and 707 is 7.

Also check out the Least Common Multiple of 700 and 707

Properties of GCF 700 and 707

(i) The GCF of 700 and 707 is associative

GCF of 700 and 707 = GCF of 707 and 700

Related Greatest Common Factor of 700

Related Greatest Common Factor of 707

Frequently Asked Questions on GCF of 700 and 707

1. What is the GCF of 700 and 707?

Answer: GCF of 700 and 707 is 7.

2. What are the Factors of 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

3. 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.

4. How to Find the GCF of 700 and 707?

Answer:

Greatest Common Factor of 700 and 707 = 7

Step 1: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 707

707 = 7 x 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 700 and 707 is 7