Greatest Common Factor of 8066 and 8074

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 8066, 8074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8066 and 8074 is 2.

GCF(8066,8074) = 2

GCF of 8066 and 8074

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

GCF of:
and

Greatest Common Factor of 8066 and 8074

GCF of 8066 and 8074 is 2

Prime Factorization of 8066


2 8066
37 4033
109 109
1

Prime factors of 8066 are 2,37,109. Prime factorization of 8066 in exponential form is:

8066 = 21×371×1091

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

∴ So by taking common prime factors GCF of 8066 and 8074 is 2

Greatest Common Factor of 8066 and 8074 by matching factors method

Factors of 8066

List of positive integer factors of 8066 that divides 8066 without a remainder.

1,2,37,74,109,218,4033,8066

Factors of 8074

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

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

Greatest Common Factor

We found the factors and prime factorization of 8066 and 8074. The biggest common factor number is the GCF number.
So the greatest common factor 8066 and 8074 is 2.

Also check out the Least Common Multiple of 8066 and 8074

Properties of GCF 8066 and 8074

(i) The GCF of 8066 and 8074 is associative

GCF of 8066 and 8074 = GCF of 8074 and 8066

Related Greatest Common Factor of 8066

Related Greatest Common Factor of 8074

Frequently Asked Questions on GCF of 8066 and 8074

1. What is the GCF of 8066 and 8074?

Answer: GCF of 8066 and 8074 is 2.

2. What are the Factors of 8066?

Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.

3. 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.

4. How to Find the GCF of 8066 and 8074?

Answer:

Greatest Common Factor of 8066 and 8074 = 2

Step 1: Find the prime factorization of 8066

8066 = 2 x 37 x 109

Step 2: Find the prime factorization of 8074

8074 = 2 x 11 x 367

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 8066 and 8074 is 2