Greatest Common Factor of 15255 and 15262

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 15255, 15262 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15255 and 15262 is 1.

GCF(15255,15262) = 1

GCF of 15255 and 15262

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

GCF of:
and

Greatest Common Factor of 15255 and 15262

GCF of 15255 and 15262 is 1

Prime Factorization of 15255


3 15255
3 5085
3 1695
5 565
113 113
1

Prime factors of 15255 are 3,5,113. Prime factorization of 15255 in exponential form is:

15255 = 33×51×1131

Prime Factorization of 15262


2 15262
13 7631
587 587
1

Prime factors of 15262 are 2,13,587. Prime factorization of 15262 in exponential form is:

15262 = 21×131×5871

∴ So by taking common prime factors GCF of 15255 and 15262 is 1

Greatest Common Factor of 15255 and 15262 by matching factors method

Factors of 15255

List of positive integer factors of 15255 that divides 15255 without a remainder.

1,3,5,9,15,27,45,113,135,339,565,1017,1695,3051,5085,15255

Factors of 15262

List of positive integer factors of 15262 that divides 15262 without a remainder.

1,2,13,26,587,1174,7631,15262

Greatest Common Factor

We found the factors and prime factorization of 15255 and 15262. The biggest common factor number is the GCF number.
So the greatest common factor 15255 and 15262 is 1.

Also check out the Least Common Multiple of 15255 and 15262

Properties of GCF 15255 and 15262

(i) The GCF of 15255 and 15262 is associative

GCF of 15255 and 15262 = GCF of 15262 and 15255

Related Greatest Common Factor of 15255

Related Greatest Common Factor of 15262

Frequently Asked Questions on GCF of 15255 and 15262

1. What is the GCF of 15255 and 15262?

Answer: GCF of 15255 and 15262 is 1.

2. What are the Factors of 15255?

Answer: Factors of 15255 are 1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255. There are 16 integers that are factors of 15255. The greatest factor of 15255 is 15255.

3. What are the Factors of 15262?

Answer: Factors of 15262 are 1, 2, 13, 26, 587, 1174, 7631, 15262. There are 8 integers that are factors of 15262. The greatest factor of 15262 is 15262.

4. How to Find the GCF of 15255 and 15262?

Answer:

Greatest Common Factor of 15255 and 15262 = 1

Step 1: Find the prime factorization of 15255

15255 = 3 x 3 x 3 x 5 x 113

Step 2: Find the prime factorization of 15262

15262 = 2 x 13 x 587

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 15255 and 15262 is 1