Greatest Common Factor of 15164 and 15169

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 15164, 15169 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15164 and 15169 is 1.

GCF(15164,15169) = 1

GCF of 15164 and 15169

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

GCF of:
and

Greatest Common Factor of 15164 and 15169

GCF of 15164 and 15169 is 1

Prime Factorization of 15164


2 15164
2 7582
17 3791
223 223
1

Prime factors of 15164 are 2,17,223. Prime factorization of 15164 in exponential form is:

15164 = 22×171×2231

Prime Factorization of 15169


7 15169
11 2167
197 197
1

Prime factors of 15169 are 7,11,197. Prime factorization of 15169 in exponential form is:

15169 = 71×111×1971

∴ So by taking common prime factors GCF of 15164 and 15169 is 1

Greatest Common Factor of 15164 and 15169 by matching factors method

Factors of 15164

List of positive integer factors of 15164 that divides 15164 without a remainder.

1,2,4,17,34,68,223,446,892,3791,7582,15164

Factors of 15169

List of positive integer factors of 15169 that divides 15169 without a remainder.

1,7,11,77,197,1379,2167,15169

Greatest Common Factor

We found the factors and prime factorization of 15164 and 15169. The biggest common factor number is the GCF number.
So the greatest common factor 15164 and 15169 is 1.

Also check out the Least Common Multiple of 15164 and 15169

Properties of GCF 15164 and 15169

(i) The GCF of 15164 and 15169 is associative

GCF of 15164 and 15169 = GCF of 15169 and 15164

Frequently Asked Questions on GCF of 15164 and 15169

1. What is the GCF of 15164 and 15169?

Answer: GCF of 15164 and 15169 is 1.

2. What are the Factors of 15164?

Answer: Factors of 15164 are 1, 2, 4, 17, 34, 68, 223, 446, 892, 3791, 7582, 15164. There are 12 integers that are factors of 15164. The greatest factor of 15164 is 15164.

3. What are the Factors of 15169?

Answer: Factors of 15169 are 1, 7, 11, 77, 197, 1379, 2167, 15169. There are 8 integers that are factors of 15169. The greatest factor of 15169 is 15169.

4. How to Find the GCF of 15164 and 15169?

Answer:

Greatest Common Factor of 15164 and 15169 = 1

Step 1: Find the prime factorization of 15164

15164 = 2 x 2 x 17 x 223

Step 2: Find the prime factorization of 15169

15169 = 7 x 11 x 197

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 15164 and 15169 is 1