Greatest Common Factor of 15427 and 15435

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 15427, 15435 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15427 and 15435 is 1.

GCF(15427,15435) = 1

GCF of 15427 and 15435

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

GCF of:
and

Greatest Common Factor of 15427 and 15435

GCF of 15427 and 15435 is 1

Prime Factorization of 15427


15427 15427
1

Prime factors of 15427 are 15427. Prime factorization of 15427 in exponential form is:

15427 = 154271

Prime Factorization of 15435


3 15435
3 5145
5 1715
7 343
7 49
7 7
1

Prime factors of 15435 are 3.Prime factorization of 15435 in exponential form is:

15435 = 32×51×73

∴ So by taking common prime factors GCF of 15427 and 15435 is 1

Greatest Common Factor of 15427 and 15435 by matching factors method

Factors of 15427

List of positive integer factors of 15427 that divides 15427 without a remainder.

1,15427

Factors of 15435

List of positive integer factors of 15435 that divides 15435 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,343,441,735,1029,1715,2205,3087,5145,15435

Greatest Common Factor

We found the factors and prime factorization of 15427 and 15435. The biggest common factor number is the GCF number.
So the greatest common factor 15427 and 15435 is 1.

Also check out the Least Common Multiple of 15427 and 15435

Properties of GCF 15427 and 15435

(i) The GCF of 15427 and 15435 is associative

GCF of 15427 and 15435 = GCF of 15435 and 15427

Frequently Asked Questions on GCF of 15427 and 15435

1. What is the GCF of 15427 and 15435?

Answer: GCF of 15427 and 15435 is 1.

2. What are the Factors of 15427?

Answer: Factors of 15427 are 1, 15427. There are 2 integers that are factors of 15427. The greatest factor of 15427 is 15427.

3. What are the Factors of 15435?

Answer: Factors of 15435 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 343, 441, 735, 1029, 1715, 2205, 3087, 5145, 15435. There are 24 integers that are factors of 15435. The greatest factor of 15435 is 15435.

4. How to Find the GCF of 15427 and 15435?

Answer:

Greatest Common Factor of 15427 and 15435 = 1

Step 1: Find the prime factorization of 15427

15427 = 15427

Step 2: Find the prime factorization of 15435

15435 = 3 x 3 x 5 x 7 x 7 x 7

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 15427 and 15435 is 1