Greatest Common Factor of 16415 and 16418

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 16415, 16418 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16415 and 16418 is 1.

GCF(16415,16418) = 1

GCF of 16415 and 16418

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

GCF of:
and

Greatest Common Factor of 16415 and 16418

GCF of 16415 and 16418 is 1

Prime Factorization of 16415


5 16415
7 3283
7 469
67 67
1

Prime factors of 16415 are 5,7,67. Prime factorization of 16415 in exponential form is:

16415 = 51×72×671

Prime Factorization of 16418


2 16418
8209 8209
1

Prime factors of 16418 are 2,8209. Prime factorization of 16418 in exponential form is:

16418 = 21×82091

∴ So by taking common prime factors GCF of 16415 and 16418 is 1

Greatest Common Factor of 16415 and 16418 by matching factors method

Factors of 16415

List of positive integer factors of 16415 that divides 16415 without a remainder.

1,5,7,35,49,67,245,335,469,2345,3283,16415

Factors of 16418

List of positive integer factors of 16418 that divides 16418 without a remainder.

1,2,8209,16418

Greatest Common Factor

We found the factors and prime factorization of 16415 and 16418. The biggest common factor number is the GCF number.
So the greatest common factor 16415 and 16418 is 1.

Also check out the Least Common Multiple of 16415 and 16418

Properties of GCF 16415 and 16418

(i) The GCF of 16415 and 16418 is associative

GCF of 16415 and 16418 = GCF of 16418 and 16415

Frequently Asked Questions on GCF of 16415 and 16418

1. What is the GCF of 16415 and 16418?

Answer: GCF of 16415 and 16418 is 1.

2. What are the Factors of 16415?

Answer: Factors of 16415 are 1, 5, 7, 35, 49, 67, 245, 335, 469, 2345, 3283, 16415. There are 12 integers that are factors of 16415. The greatest factor of 16415 is 16415.

3. What are the Factors of 16418?

Answer: Factors of 16418 are 1, 2, 8209, 16418. There are 4 integers that are factors of 16418. The greatest factor of 16418 is 16418.

4. How to Find the GCF of 16415 and 16418?

Answer:

Greatest Common Factor of 16415 and 16418 = 1

Step 1: Find the prime factorization of 16415

16415 = 5 x 7 x 7 x 67

Step 2: Find the prime factorization of 16418

16418 = 2 x 8209

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 16415 and 16418 is 1