Greatest Common Factor of 614 and 620

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 614, 620 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 614 and 620 is 2.

GCF(614,620) = 2

GCF of 614 and 620

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

GCF of:
and

Greatest Common Factor of 614 and 620

GCF of 614 and 620 is 2

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

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2,5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

∴ So by taking common prime factors GCF of 614 and 620 is 2

Greatest Common Factor of 614 and 620 by matching factors method

Factors of 614

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

1,2,307,614

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors and prime factorization of 614 and 620. The biggest common factor number is the GCF number.
So the greatest common factor 614 and 620 is 2.

Also check out the Least Common Multiple of 614 and 620

Properties of GCF 614 and 620

(i) The GCF of 614 and 620 is associative

GCF of 614 and 620 = GCF of 620 and 614

Related Greatest Common Factor of 614

Related Greatest Common Factor of 620

Frequently Asked Questions on GCF of 614 and 620

1. What is the GCF of 614 and 620?

Answer: GCF of 614 and 620 is 2.

2. 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.

3. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the GCF of 614 and 620?

Answer:

Greatest Common Factor of 614 and 620 = 2

Step 1: Find the prime factorization of 614

614 = 2 x 307

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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 614 and 620 is 2