Greatest Common Factor of 15066 and 15070

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 15066, 15070 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15066 and 15070 is 2.

GCF(15066,15070) = 2

GCF of 15066 and 15070

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

GCF of:
and

Greatest Common Factor of 15066 and 15070

GCF of 15066 and 15070 is 2

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

Prime Factorization of 15070


2 15070
5 7535
11 1507
137 137
1

Prime factors of 15070 are 2,5,11,137. Prime factorization of 15070 in exponential form is:

15070 = 21×51×111×1371

∴ So by taking common prime factors GCF of 15066 and 15070 is 2

Greatest Common Factor of 15066 and 15070 by matching factors method

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

Factors of 15070

List of positive integer factors of 15070 that divides 15070 without a remainder.

1,2,5,10,11,22,55,110,137,274,685,1370,1507,3014,7535,15070

Greatest Common Factor

We found the factors and prime factorization of 15066 and 15070. The biggest common factor number is the GCF number.
So the greatest common factor 15066 and 15070 is 2.

Also check out the Least Common Multiple of 15066 and 15070

Properties of GCF 15066 and 15070

(i) The GCF of 15066 and 15070 is associative

GCF of 15066 and 15070 = GCF of 15070 and 15066

Related Greatest Common Factor of 15066

Related Greatest Common Factor of 15070

Frequently Asked Questions on GCF of 15066 and 15070

1. What is the GCF of 15066 and 15070?

Answer: GCF of 15066 and 15070 is 2.

2. 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.

3. What are the Factors of 15070?

Answer: Factors of 15070 are 1, 2, 5, 10, 11, 22, 55, 110, 137, 274, 685, 1370, 1507, 3014, 7535, 15070. There are 16 integers that are factors of 15070. The greatest factor of 15070 is 15070.

4. How to Find the GCF of 15066 and 15070?

Answer:

Greatest Common Factor of 15066 and 15070 = 2

Step 1: Find the prime factorization of 15066

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

Step 2: Find the prime factorization of 15070

15070 = 2 x 5 x 11 x 137

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 15066 and 15070 is 2