Greatest Common Factor of 13068 and 13072

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 13068, 13072 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13068 and 13072 is 4.

GCF(13068,13072) = 4

GCF of 13068 and 13072

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

GCF of:
and

Greatest Common Factor of 13068 and 13072

GCF of 13068 and 13072 is 4

Prime Factorization of 13068


2 13068
2 6534
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 13068 are 2,3,11. Prime factorization of 13068 in exponential form is:

13068 = 22×33×112

Prime Factorization of 13072


2 13072
2 6536
2 3268
2 1634
19 817
43 43
1

Prime factors of 13072 are 2,19,43. Prime factorization of 13072 in exponential form is:

13072 = 24×191×431

∴ So by taking common prime factors GCF of 13068 and 13072 is 4

Greatest Common Factor of 13068 and 13072 by matching factors method

Factors of 13068

List of positive integer factors of 13068 that divides 13068 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,121,132,198,242,297,363,396,484,594,726,1089,1188,1452,2178,3267,4356,6534,13068

Factors of 13072

List of positive integer factors of 13072 that divides 13072 without a remainder.

1,2,4,8,16,19,38,43,76,86,152,172,304,344,688,817,1634,3268,6536,13072

Greatest Common Factor

We found the factors and prime factorization of 13068 and 13072. The biggest common factor number is the GCF number.
So the greatest common factor 13068 and 13072 is 4.

Also check out the Least Common Multiple of 13068 and 13072

Properties of GCF 13068 and 13072

(i) The GCF of 13068 and 13072 is associative

GCF of 13068 and 13072 = GCF of 13072 and 13068

Related Greatest Common Factor of 13068

Related Greatest Common Factor of 13072

Frequently Asked Questions on GCF of 13068 and 13072

1. What is the GCF of 13068 and 13072?

Answer: GCF of 13068 and 13072 is 4.

2. What are the Factors of 13068?

Answer: Factors of 13068 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 121, 132, 198, 242, 297, 363, 396, 484, 594, 726, 1089, 1188, 1452, 2178, 3267, 4356, 6534, 13068. There are 36 integers that are factors of 13068. The greatest factor of 13068 is 13068.

3. What are the Factors of 13072?

Answer: Factors of 13072 are 1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536, 13072. There are 20 integers that are factors of 13072. The greatest factor of 13072 is 13072.

4. How to Find the GCF of 13068 and 13072?

Answer:

Greatest Common Factor of 13068 and 13072 = 4

Step 1: Find the prime factorization of 13068

13068 = 2 x 2 x 3 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 13072

13072 = 2 x 2 x 2 x 2 x 19 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 13068 and 13072 is 4