Greatest Common Factor of 7074 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 7074, 7080 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7074 and 7080 is 6.

GCF(7074,7080) = 6

GCF of 7074 and 7080

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

GCF of:
and

Greatest Common Factor of 7074 and 7080

GCF of 7074 and 7080 is 6

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

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 7074 and 7080 is 6

Greatest Common Factor of 7074 and 7080 by matching factors method

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

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 7074 and 7080. The biggest common factor number is the GCF number.
So the greatest common factor 7074 and 7080 is 6.

Also check out the Least Common Multiple of 7074 and 7080

Properties of GCF 7074 and 7080

(i) The GCF of 7074 and 7080 is associative

GCF of 7074 and 7080 = GCF of 7080 and 7074

Related Greatest Common Factor of 7074

Related Greatest Common Factor of 7080

Frequently Asked Questions on GCF of 7074 and 7080

1. What is the GCF of 7074 and 7080?

Answer: GCF of 7074 and 7080 is 6.

2. 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.

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 7074 and 7080?

Answer:

Greatest Common Factor of 7074 and 7080 = 6

Step 1: Find the prime factorization of 7074

7074 = 2 x 3 x 3 x 3 x 131

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 3 = 6

Step 4: Therefore, the greatest common factor of 7074 and 7080 is 6