Greatest Common Factor of 15062 and 15066

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 15062, 15066 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15062 and 15066 is 2.

GCF(15062,15066) = 2

GCF of 15062 and 15066

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

GCF of:
and

Greatest Common Factor of 15062 and 15066

GCF of 15062 and 15066 is 2

Prime Factorization of 15062


2 15062
17 7531
443 443
1

Prime factors of 15062 are 2,17,443. Prime factorization of 15062 in exponential form is:

15062 = 21×171×4431

Prime Factorization of 15066


2 15066
3 7533
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 15066 are 2,3,31. Prime factorization of 15066 in exponential form is:

15066 = 21×35×311

∴ So by taking common prime factors GCF of 15062 and 15066 is 2

Greatest Common Factor of 15062 and 15066 by matching factors method

Factors of 15062

List of positive integer factors of 15062 that divides 15062 without a remainder.

1,2,17,34,443,886,7531,15062

Factors of 15066

List of positive integer factors of 15066 that divides 15066 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,243,279,486,558,837,1674,2511,5022,7533,15066

Greatest Common Factor

We found the factors and prime factorization of 15062 and 15066. The biggest common factor number is the GCF number.
So the greatest common factor 15062 and 15066 is 2.

Also check out the Least Common Multiple of 15062 and 15066

Properties of GCF 15062 and 15066

(i) The GCF of 15062 and 15066 is associative

GCF of 15062 and 15066 = GCF of 15066 and 15062

Related Greatest Common Factor of 15062

Related Greatest Common Factor of 15066

Frequently Asked Questions on GCF of 15062 and 15066

1. What is the GCF of 15062 and 15066?

Answer: GCF of 15062 and 15066 is 2.

2. What are the Factors of 15062?

Answer: Factors of 15062 are 1, 2, 17, 34, 443, 886, 7531, 15062. There are 8 integers that are factors of 15062. The greatest factor of 15062 is 15062.

3. What are the Factors of 15066?

Answer: Factors of 15066 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 243, 279, 486, 558, 837, 1674, 2511, 5022, 7533, 15066. There are 24 integers that are factors of 15066. The greatest factor of 15066 is 15066.

4. How to Find the GCF of 15062 and 15066?

Answer:

Greatest Common Factor of 15062 and 15066 = 2

Step 1: Find the prime factorization of 15062

15062 = 2 x 17 x 443

Step 2: Find the prime factorization of 15066

15066 = 2 x 3 x 3 x 3 x 3 x 3 x 31

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 15062 and 15066 is 2