Greatest Common Factor of 3614 and 3617

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 3614, 3617 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3614 and 3617 is 1.

GCF(3614,3617) = 1

GCF of 3614 and 3617

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

GCF of:
and

Greatest Common Factor of 3614 and 3617

GCF of 3614 and 3617 is 1

Prime Factorization of 3614


2 3614
13 1807
139 139
1

Prime factors of 3614 are 2,13,139. Prime factorization of 3614 in exponential form is:

3614 = 21×131×1391

Prime Factorization of 3617


3617 3617
1

Prime factors of 3617 are 3617. Prime factorization of 3617 in exponential form is:

3617 = 36171

∴ So by taking common prime factors GCF of 3614 and 3617 is 1

Greatest Common Factor of 3614 and 3617 by matching factors method

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1,3617

Greatest Common Factor

We found the factors and prime factorization of 3614 and 3617. The biggest common factor number is the GCF number.
So the greatest common factor 3614 and 3617 is 1.

Also check out the Least Common Multiple of 3614 and 3617

Properties of GCF 3614 and 3617

(i) The GCF of 3614 and 3617 is associative

GCF of 3614 and 3617 = GCF of 3617 and 3614

Related Greatest Common Factor of 3614

Related Greatest Common Factor of 3617

Frequently Asked Questions on GCF of 3614 and 3617

1. What is the GCF of 3614 and 3617?

Answer: GCF of 3614 and 3617 is 1.

2. What are the Factors of 3614?

Answer: Factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614. There are 8 integers that are factors of 3614. The greatest factor of 3614 is 3614.

3. What are the Factors of 3617?

Answer: Factors of 3617 are 1, 3617. There are 2 integers that are factors of 3617. The greatest factor of 3617 is 3617.

4. How to Find the GCF of 3614 and 3617?

Answer:

Greatest Common Factor of 3614 and 3617 = 1

Step 1: Find the prime factorization of 3614

3614 = 2 x 13 x 139

Step 2: Find the prime factorization of 3617

3617 = 3617

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 3614 and 3617 is 1