Greatest Common Factor of 16417 and 16425

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 16417, 16425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16417 and 16425 is 1.

GCF(16417,16425) = 1

GCF of 16417 and 16425

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

GCF of:
and

Greatest Common Factor of 16417 and 16425

GCF of 16417 and 16425 is 1

Prime Factorization of 16417


16417 16417
1

Prime factors of 16417 are 16417. Prime factorization of 16417 in exponential form is:

16417 = 164171

Prime Factorization of 16425


3 16425
3 5475
5 1825
5 365
73 73
1

Prime factors of 16425 are 3.Prime factorization of 16425 in exponential form is:

16425 = 32×52×731

∴ So by taking common prime factors GCF of 16417 and 16425 is 1

Greatest Common Factor of 16417 and 16425 by matching factors method

Factors of 16417

List of positive integer factors of 16417 that divides 16417 without a remainder.

1,16417

Factors of 16425

List of positive integer factors of 16425 that divides 16425 without a remainder.

1,3,5,9,15,25,45,73,75,219,225,365,657,1095,1825,3285,5475,16425

Greatest Common Factor

We found the factors and prime factorization of 16417 and 16425. The biggest common factor number is the GCF number.
So the greatest common factor 16417 and 16425 is 1.

Also check out the Least Common Multiple of 16417 and 16425

Properties of GCF 16417 and 16425

(i) The GCF of 16417 and 16425 is associative

GCF of 16417 and 16425 = GCF of 16425 and 16417

Frequently Asked Questions on GCF of 16417 and 16425

1. What is the GCF of 16417 and 16425?

Answer: GCF of 16417 and 16425 is 1.

2. What are the Factors of 16417?

Answer: Factors of 16417 are 1, 16417. There are 2 integers that are factors of 16417. The greatest factor of 16417 is 16417.

3. What are the Factors of 16425?

Answer: Factors of 16425 are 1, 3, 5, 9, 15, 25, 45, 73, 75, 219, 225, 365, 657, 1095, 1825, 3285, 5475, 16425. There are 18 integers that are factors of 16425. The greatest factor of 16425 is 16425.

4. How to Find the GCF of 16417 and 16425?

Answer:

Greatest Common Factor of 16417 and 16425 = 1

Step 1: Find the prime factorization of 16417

16417 = 16417

Step 2: Find the prime factorization of 16425

16425 = 3 x 3 x 5 x 5 x 73

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 16417 and 16425 is 1