Greatest Common Factor of 7070 and 7075

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 7070, 7075 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7070 and 7075 is 5.

GCF(7070,7075) = 5

GCF of 7070 and 7075

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

GCF of:
and

Greatest Common Factor of 7070 and 7075

GCF of 7070 and 7075 is 5

Prime Factorization of 7070


2 7070
5 3535
7 707
101 101
1

Prime factors of 7070 are 2,5,7,101. Prime factorization of 7070 in exponential form is:

7070 = 21×51×71×1011

Prime Factorization of 7075


5 7075
5 1415
283 283
1

Prime factors of 7075 are 5,283. Prime factorization of 7075 in exponential form is:

7075 = 52×2831

∴ So by taking common prime factors GCF of 7070 and 7075 is 5

Greatest Common Factor of 7070 and 7075 by matching factors method

Factors of 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070

Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1,5,25,283,1415,7075

Greatest Common Factor

We found the factors and prime factorization of 7070 and 7075. The biggest common factor number is the GCF number.
So the greatest common factor 7070 and 7075 is 5.

Also check out the Least Common Multiple of 7070 and 7075

Properties of GCF 7070 and 7075

(i) The GCF of 7070 and 7075 is associative

GCF of 7070 and 7075 = GCF of 7075 and 7070

Related Greatest Common Factor of 7070

Related Greatest Common Factor of 7075

Frequently Asked Questions on GCF of 7070 and 7075

1. What is the GCF of 7070 and 7075?

Answer: GCF of 7070 and 7075 is 5.

2. What are the Factors of 7070?

Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.

3. What are the Factors of 7075?

Answer: Factors of 7075 are 1, 5, 25, 283, 1415, 7075. There are 6 integers that are factors of 7075. The greatest factor of 7075 is 7075.

4. How to Find the GCF of 7070 and 7075?

Answer:

Greatest Common Factor of 7070 and 7075 = 5

Step 1: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

Step 2: Find the prime factorization of 7075

7075 = 5 x 5 x 283

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7070 and 7075 is 5