Greatest Common Factor of 8074 and 8080

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 8074, 8080 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8074 and 8080 is 2.

GCF(8074,8080) = 2

GCF of 8074 and 8080

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

GCF of:
and

Greatest Common Factor of 8074 and 8080

GCF of 8074 and 8080 is 2

Prime Factorization of 8074


2 8074
11 4037
367 367
1

Prime factors of 8074 are 2,11,367. Prime factorization of 8074 in exponential form is:

8074 = 21×111×3671

Prime Factorization of 8080


2 8080
2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 8080 are 2,5,101. Prime factorization of 8080 in exponential form is:

8080 = 24×51×1011

∴ So by taking common prime factors GCF of 8074 and 8080 is 2

Greatest Common Factor of 8074 and 8080 by matching factors method

Factors of 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1,2,11,22,367,734,4037,8074

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

Greatest Common Factor

We found the factors and prime factorization of 8074 and 8080. The biggest common factor number is the GCF number.
So the greatest common factor 8074 and 8080 is 2.

Also check out the Least Common Multiple of 8074 and 8080

Properties of GCF 8074 and 8080

(i) The GCF of 8074 and 8080 is associative

GCF of 8074 and 8080 = GCF of 8080 and 8074

Related Greatest Common Factor of 8074

Related Greatest Common Factor of 8080

Frequently Asked Questions on GCF of 8074 and 8080

1. What is the GCF of 8074 and 8080?

Answer: GCF of 8074 and 8080 is 2.

2. What are the Factors of 8074?

Answer: Factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074. There are 8 integers that are factors of 8074. The greatest factor of 8074 is 8074.

3. What are the Factors of 8080?

Answer: Factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080. There are 20 integers that are factors of 8080. The greatest factor of 8080 is 8080.

4. How to Find the GCF of 8074 and 8080?

Answer:

Greatest Common Factor of 8074 and 8080 = 2

Step 1: Find the prime factorization of 8074

8074 = 2 x 11 x 367

Step 2: Find the prime factorization of 8080

8080 = 2 x 2 x 2 x 2 x 5 x 101

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 8074 and 8080 is 2