Greatest Common Factor of 7070 and 7074

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, 7074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7070 and 7074 is 2.

GCF(7070,7074) = 2

GCF of 7070 and 7074

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

GCF of:
and

Greatest Common Factor of 7070 and 7074

GCF of 7070 and 7074 is 2

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 7074


2 7074
3 3537
3 1179
3 393
131 131
1

Prime factors of 7074 are 2,3,131. Prime factorization of 7074 in exponential form is:

7074 = 21×33×1311

∴ So by taking common prime factors GCF of 7070 and 7074 is 2

Greatest Common Factor of 7070 and 7074 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 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074

Greatest Common Factor

We found the factors and prime factorization of 7070 and 7074. The biggest common factor number is the GCF number.
So the greatest common factor 7070 and 7074 is 2.

Also check out the Least Common Multiple of 7070 and 7074

Properties of GCF 7070 and 7074

(i) The GCF of 7070 and 7074 is associative

GCF of 7070 and 7074 = GCF of 7074 and 7070

Related Greatest Common Factor of 7070

Related Greatest Common Factor of 7074

Frequently Asked Questions on GCF of 7070 and 7074

1. What is the GCF of 7070 and 7074?

Answer: GCF of 7070 and 7074 is 2.

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 7074?

Answer: Factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074. There are 16 integers that are factors of 7074. The greatest factor of 7074 is 7074.

4. How to Find the GCF of 7070 and 7074?

Answer:

Greatest Common Factor of 7070 and 7074 = 2

Step 1: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

Step 2: Find the prime factorization of 7074

7074 = 2 x 3 x 3 x 3 x 131

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7070 and 7074 is 2