Greatest Common Factor of 610 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 610, 614 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 610 and 614 is 2.

GCF(610,614) = 2

GCF of 610 and 614

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

GCF of:
and

Greatest Common Factor of 610 and 614

GCF of 610 and 614 is 2

Prime Factorization of 610


2 610
5 305
61 61
1

Prime factors of 610 are 2,5,61. Prime factorization of 610 in exponential form is:

610 = 21×51×611

Prime Factorization of 614


2 614
307 307
1

Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:

614 = 21×3071

∴ So by taking common prime factors GCF of 610 and 614 is 2

Greatest Common Factor of 610 and 614 by matching factors method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

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 610 and 614. The biggest common factor number is the GCF number.
So the greatest common factor 610 and 614 is 2.

Also check out the Least Common Multiple of 610 and 614

Properties of GCF 610 and 614

(i) The GCF of 610 and 614 is associative

GCF of 610 and 614 = GCF of 614 and 610

Related Greatest Common Factor of 610

Related Greatest Common Factor of 614

Frequently Asked Questions on GCF of 610 and 614

1. What is the GCF of 610 and 614?

Answer: GCF of 610 and 614 is 2.

2. What are the Factors of 610?

Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.

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 610 and 614?

Answer:

Greatest Common Factor of 610 and 614 = 2

Step 1: Find the prime factorization of 610

610 = 2 x 5 x 61

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 = 2

Step 4: Therefore, the greatest common factor of 610 and 614 is 2