Greatest Common Factor of 15201 and 15208

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 15201, 15208 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15201 and 15208 is 1.

GCF(15201,15208) = 1

GCF of 15201 and 15208

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

GCF of:
and

Greatest Common Factor of 15201 and 15208

GCF of 15201 and 15208 is 1

Prime Factorization of 15201


3 15201
3 5067
3 1689
563 563
1

Prime factors of 15201 are 3,563. Prime factorization of 15201 in exponential form is:

15201 = 33×5631

Prime Factorization of 15208


2 15208
2 7604
2 3802
1901 1901
1

Prime factors of 15208 are 2,1901. Prime factorization of 15208 in exponential form is:

15208 = 23×19011

∴ So by taking common prime factors GCF of 15201 and 15208 is 1

Greatest Common Factor of 15201 and 15208 by matching factors method

Factors of 15201

List of positive integer factors of 15201 that divides 15201 without a remainder.

1,3,9,27,563,1689,5067,15201

Factors of 15208

List of positive integer factors of 15208 that divides 15208 without a remainder.

1,2,4,8,1901,3802,7604,15208

Greatest Common Factor

We found the factors and prime factorization of 15201 and 15208. The biggest common factor number is the GCF number.
So the greatest common factor 15201 and 15208 is 1.

Also check out the Least Common Multiple of 15201 and 15208

Properties of GCF 15201 and 15208

(i) The GCF of 15201 and 15208 is associative

GCF of 15201 and 15208 = GCF of 15208 and 15201

Related Greatest Common Factor of 15201

Related Greatest Common Factor of 15208

Frequently Asked Questions on GCF of 15201 and 15208

1. What is the GCF of 15201 and 15208?

Answer: GCF of 15201 and 15208 is 1.

2. What are the Factors of 15201?

Answer: Factors of 15201 are 1, 3, 9, 27, 563, 1689, 5067, 15201. There are 8 integers that are factors of 15201. The greatest factor of 15201 is 15201.

3. What are the Factors of 15208?

Answer: Factors of 15208 are 1, 2, 4, 8, 1901, 3802, 7604, 15208. There are 8 integers that are factors of 15208. The greatest factor of 15208 is 15208.

4. How to Find the GCF of 15201 and 15208?

Answer:

Greatest Common Factor of 15201 and 15208 = 1

Step 1: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

Step 2: Find the prime factorization of 15208

15208 = 2 x 2 x 2 x 1901

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 15201 and 15208 is 1