Greatest Common Factor of 613 and 614

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 613, 614 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 613 and 614 is 1.

GCF(613,614) = 1

GCF of 613 and 614

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

GCF of:
and

Greatest Common Factor of 613 and 614

GCF of 613 and 614 is 1

Prime Factorization of 613


613 613
1

Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:

613 = 6131

Prime Factorization of 614


2 614
307 307
1

Prime factors of 614 are 2.Prime factorization of 614 in exponential form is:

614 = 21×3071

∴ So by taking common prime factors GCF of 613 and 614 is 1

Greatest Common Factor of 613 and 614 by matching factors method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors and prime factorization of 613 and 614. The biggest common factor number is the GCF number.
So the greatest common factor 613 and 614 is 1.

Also check out the Least Common Multiple of 613 and 614

Properties of GCF 613 and 614

(i) The GCF of 613 and 614 is associative

GCF of 613 and 614 = GCF of 614 and 613

Related Greatest Common Factor of 613

Related Greatest Common Factor of 614

Frequently Asked Questions on GCF of 613 and 614

1. What is the GCF of 613 and 614?

Answer: GCF of 613 and 614 is 1.

2. What are the Factors of 613?

Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.

3. What are the Factors of 614?

Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.

4. How to Find the GCF of 613 and 614?

Answer:

Greatest Common Factor of 613 and 614 = 1

Step 1: Find the prime factorization of 613

613 = 613

Step 2: Find the prime factorization of 614

614 = 2 x 307

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 613 and 614 is 1