Greatest Common Factor of 10066 and 10072

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 10066, 10072 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10066 and 10072 is 2.

GCF(10066,10072) = 2

GCF of 10066 and 10072

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

GCF of:
and

Greatest Common Factor of 10066 and 10072

GCF of 10066 and 10072 is 2

Prime Factorization of 10066


2 10066
7 5033
719 719
1

Prime factors of 10066 are 2,7,719. Prime factorization of 10066 in exponential form is:

10066 = 21×71×7191

Prime Factorization of 10072


2 10072
2 5036
2 2518
1259 1259
1

Prime factors of 10072 are 2,1259. Prime factorization of 10072 in exponential form is:

10072 = 23×12591

∴ So by taking common prime factors GCF of 10066 and 10072 is 2

Greatest Common Factor of 10066 and 10072 by matching factors method

Factors of 10066

List of positive integer factors of 10066 that divides 10066 without a remainder.

1,2,7,14,719,1438,5033,10066

Factors of 10072

List of positive integer factors of 10072 that divides 10072 without a remainder.

1,2,4,8,1259,2518,5036,10072

Greatest Common Factor

We found the factors and prime factorization of 10066 and 10072. The biggest common factor number is the GCF number.
So the greatest common factor 10066 and 10072 is 2.

Also check out the Least Common Multiple of 10066 and 10072

Properties of GCF 10066 and 10072

(i) The GCF of 10066 and 10072 is associative

GCF of 10066 and 10072 = GCF of 10072 and 10066

Related Greatest Common Factor of 10066

Related Greatest Common Factor of 10072

Frequently Asked Questions on GCF of 10066 and 10072

1. What is the GCF of 10066 and 10072?

Answer: GCF of 10066 and 10072 is 2.

2. What are the Factors of 10066?

Answer: Factors of 10066 are 1, 2, 7, 14, 719, 1438, 5033, 10066. There are 8 integers that are factors of 10066. The greatest factor of 10066 is 10066.

3. What are the Factors of 10072?

Answer: Factors of 10072 are 1, 2, 4, 8, 1259, 2518, 5036, 10072. There are 8 integers that are factors of 10072. The greatest factor of 10072 is 10072.

4. How to Find the GCF of 10066 and 10072?

Answer:

Greatest Common Factor of 10066 and 10072 = 2

Step 1: Find the prime factorization of 10066

10066 = 2 x 7 x 719

Step 2: Find the prime factorization of 10072

10072 = 2 x 2 x 2 x 1259

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 10066 and 10072 is 2