Greatest Common Factor of 7072 and 7076

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, 7076 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7072 and 7076 is 4.

GCF(7072,7076) = 4

GCF of 7072 and 7076

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

GCF of:
and

Greatest Common Factor of 7072 and 7076

GCF of 7072 and 7076 is 4

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 7076


2 7076
2 3538
29 1769
61 61
1

Prime factors of 7076 are 2,29,61. Prime factorization of 7076 in exponential form is:

7076 = 22×291×611

∴ So by taking common prime factors GCF of 7072 and 7076 is 4

Greatest Common Factor of 7072 and 7076 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 7076

List of positive integer factors of 7076 that divides 7076 without a remainder.

1,2,4,29,58,61,116,122,244,1769,3538,7076

Greatest Common Factor

We found the factors and prime factorization of 7072 and 7076. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7076 is 4.

Also check out the Least Common Multiple of 7072 and 7076

Properties of GCF 7072 and 7076

(i) The GCF of 7072 and 7076 is associative

GCF of 7072 and 7076 = GCF of 7076 and 7072

Related Greatest Common Factor of 7072

Related Greatest Common Factor of 7076

Frequently Asked Questions on GCF of 7072 and 7076

1. What is the GCF of 7072 and 7076?

Answer: GCF of 7072 and 7076 is 4.

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 7076?

Answer: Factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076. There are 12 integers that are factors of 7076. The greatest factor of 7076 is 7076.

4. How to Find the GCF of 7072 and 7076?

Answer:

Greatest Common Factor of 7072 and 7076 = 4

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 7076

7076 = 2 x 2 x 29 x 61

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7072 and 7076 is 4