Greatest Common Factor of 3417 and 3425

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 3417, 3425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3417 and 3425 is 1.

GCF(3417,3425) = 1

GCF of 3417 and 3425

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

GCF of:
and

Greatest Common Factor of 3417 and 3425

GCF of 3417 and 3425 is 1

Prime Factorization of 3417


3 3417
17 1139
67 67
1

Prime factors of 3417 are 3,17,67. Prime factorization of 3417 in exponential form is:

3417 = 31×171×671

Prime Factorization of 3425


5 3425
5 685
137 137
1

Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:

3425 = 52×1371

∴ So by taking common prime factors GCF of 3417 and 3425 is 1

Greatest Common Factor of 3417 and 3425 by matching factors method

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1,3,17,51,67,201,1139,3417

Factors of 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1,5,25,137,685,3425

Greatest Common Factor

We found the factors and prime factorization of 3417 and 3425. The biggest common factor number is the GCF number.
So the greatest common factor 3417 and 3425 is 1.

Also check out the Least Common Multiple of 3417 and 3425

Properties of GCF 3417 and 3425

(i) The GCF of 3417 and 3425 is associative

GCF of 3417 and 3425 = GCF of 3425 and 3417

Related Greatest Common Factor of 3417

Related Greatest Common Factor of 3425

Frequently Asked Questions on GCF of 3417 and 3425

1. What is the GCF of 3417 and 3425?

Answer: GCF of 3417 and 3425 is 1.

2. What are the Factors of 3417?

Answer: Factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417. There are 8 integers that are factors of 3417. The greatest factor of 3417 is 3417.

3. What are the Factors of 3425?

Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.

4. How to Find the GCF of 3417 and 3425?

Answer:

Greatest Common Factor of 3417 and 3425 = 1

Step 1: Find the prime factorization of 3417

3417 = 3 x 17 x 67

Step 2: Find the prime factorization of 3425

3425 = 5 x 5 x 137

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 3417 and 3425 is 1