Greatest Common Factor of 7072 and 7080

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, 7080 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7072 and 7080 is 8.

GCF(7072,7080) = 8

GCF of 7072 and 7080

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

GCF of:
and

Greatest Common Factor of 7072 and 7080

GCF of 7072 and 7080 is 8

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 7080


2 7080
2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 7080 are 2,3,5,59. Prime factorization of 7080 in exponential form is:

7080 = 23×31×51×591

∴ So by taking common prime factors GCF of 7072 and 7080 is 8

Greatest Common Factor of 7072 and 7080 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 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Greatest Common Factor

We found the factors and prime factorization of 7072 and 7080. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7080 is 8.

Also check out the Least Common Multiple of 7072 and 7080

Properties of GCF 7072 and 7080

(i) The GCF of 7072 and 7080 is associative

GCF of 7072 and 7080 = GCF of 7080 and 7072

Related Greatest Common Factor of 7072

Related Greatest Common Factor of 7080

Frequently Asked Questions on GCF of 7072 and 7080

1. What is the GCF of 7072 and 7080?

Answer: GCF of 7072 and 7080 is 8.

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 7080?

Answer: Factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080. There are 32 integers that are factors of 7080. The greatest factor of 7080 is 7080.

4. How to Find the GCF of 7072 and 7080?

Answer:

Greatest Common Factor of 7072 and 7080 = 8

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 7080

7080 = 2 x 2 x 2 x 3 x 5 x 59

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7072 and 7080 is 8