Greatest Common Factor of 7072 and 7079

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, 7079 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7072 and 7079 is 1.

GCF(7072,7079) = 1

GCF of 7072 and 7079

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

GCF of:
and

Greatest Common Factor of 7072 and 7079

GCF of 7072 and 7079 is 1

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 7079


7079 7079
1

Prime factors of 7079 are 7079. Prime factorization of 7079 in exponential form is:

7079 = 70791

∴ So by taking common prime factors GCF of 7072 and 7079 is 1

Greatest Common Factor of 7072 and 7079 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 7079

List of positive integer factors of 7079 that divides 7079 without a remainder.

1,7079

Greatest Common Factor

We found the factors and prime factorization of 7072 and 7079. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7079 is 1.

Also check out the Least Common Multiple of 7072 and 7079

Properties of GCF 7072 and 7079

(i) The GCF of 7072 and 7079 is associative

GCF of 7072 and 7079 = GCF of 7079 and 7072

Related Greatest Common Factor of 7072

Related Greatest Common Factor of 7079

Frequently Asked Questions on GCF of 7072 and 7079

1. What is the GCF of 7072 and 7079?

Answer: GCF of 7072 and 7079 is 1.

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 7079?

Answer: Factors of 7079 are 1, 7079. There are 2 integers that are factors of 7079. The greatest factor of 7079 is 7079.

4. How to Find the GCF of 7072 and 7079?

Answer:

Greatest Common Factor of 7072 and 7079 = 1

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 7079

7079 = 7079

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 7072 and 7079 is 1