Greatest Common Factor of 10060 and 10066

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 10060, 10066 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10060 and 10066 is 2.

GCF(10060,10066) = 2

GCF of 10060 and 10066

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

GCF of:
and

Greatest Common Factor of 10060 and 10066

GCF of 10060 and 10066 is 2

Prime Factorization of 10060


2 10060
2 5030
5 2515
503 503
1

Prime factors of 10060 are 2,5,503. Prime factorization of 10060 in exponential form is:

10060 = 22×51×5031

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

∴ So by taking common prime factors GCF of 10060 and 10066 is 2

Greatest Common Factor of 10060 and 10066 by matching factors method

Factors of 10060

List of positive integer factors of 10060 that divides 10060 without a remainder.

1,2,4,5,10,20,503,1006,2012,2515,5030,10060

Factors of 10066

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

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

Greatest Common Factor

We found the factors and prime factorization of 10060 and 10066. The biggest common factor number is the GCF number.
So the greatest common factor 10060 and 10066 is 2.

Also check out the Least Common Multiple of 10060 and 10066

Properties of GCF 10060 and 10066

(i) The GCF of 10060 and 10066 is associative

GCF of 10060 and 10066 = GCF of 10066 and 10060

Related Greatest Common Factor of 10060

Related Greatest Common Factor of 10066

Frequently Asked Questions on GCF of 10060 and 10066

1. What is the GCF of 10060 and 10066?

Answer: GCF of 10060 and 10066 is 2.

2. What are the Factors of 10060?

Answer: Factors of 10060 are 1, 2, 4, 5, 10, 20, 503, 1006, 2012, 2515, 5030, 10060. There are 12 integers that are factors of 10060. The greatest factor of 10060 is 10060.

3. 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.

4. How to Find the GCF of 10060 and 10066?

Answer:

Greatest Common Factor of 10060 and 10066 = 2

Step 1: Find the prime factorization of 10060

10060 = 2 x 2 x 5 x 503

Step 2: Find the prime factorization of 10066

10066 = 2 x 7 x 719

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 10060 and 10066 is 2