Greatest Common Factor of 7072 and 7078

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 7072, 7078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7072 and 7078 is 2.

GCF(7072,7078) = 2

GCF of 7072 and 7078

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

GCF of:
and

Greatest Common Factor of 7072 and 7078

GCF of 7072 and 7078 is 2

Prime Factorization of 7072


2 7072
2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 7072 are 2,13,17. Prime factorization of 7072 in exponential form is:

7072 = 25×131×171

Prime Factorization of 7078


2 7078
3539 3539
1

Prime factors of 7078 are 2,3539. Prime factorization of 7078 in exponential form is:

7078 = 21×35391

∴ So by taking common prime factors GCF of 7072 and 7078 is 2

Greatest Common Factor of 7072 and 7078 by matching factors method

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072

Factors of 7078

List of positive integer factors of 7078 that divides 7078 without a remainder.

1,2,3539,7078

Greatest Common Factor

We found the factors and prime factorization of 7072 and 7078. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7078 is 2.

Also check out the Least Common Multiple of 7072 and 7078

Properties of GCF 7072 and 7078

(i) The GCF of 7072 and 7078 is associative

GCF of 7072 and 7078 = GCF of 7078 and 7072

Related Greatest Common Factor of 7072

Related Greatest Common Factor of 7078

Frequently Asked Questions on GCF of 7072 and 7078

1. What is the GCF of 7072 and 7078?

Answer: GCF of 7072 and 7078 is 2.

2. What are the Factors of 7072?

Answer: Factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. There are 24 integers that are factors of 7072. The greatest factor of 7072 is 7072.

3. What are the Factors of 7078?

Answer: Factors of 7078 are 1, 2, 3539, 7078. There are 4 integers that are factors of 7078. The greatest factor of 7078 is 7078.

4. How to Find the GCF of 7072 and 7078?

Answer:

Greatest Common Factor of 7072 and 7078 = 2

Step 1: Find the prime factorization of 7072

7072 = 2 x 2 x 2 x 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 7078

7078 = 2 x 3539

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 7072 and 7078 is 2