Greatest Common Factor of 612 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 612, 614 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 612 and 614 is 2.

GCF(612,614) = 2

GCF of 612 and 614

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

GCF of:
and

Greatest Common Factor of 612 and 614

GCF of 612 and 614 is 2

Prime Factorization of 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2,3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

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 612 and 614 is 2

Greatest Common Factor of 612 and 614 by matching factors method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

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 612 and 614. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 614 is 2.

Also check out the Least Common Multiple of 612 and 614

Properties of GCF 612 and 614

(i) The GCF of 612 and 614 is associative

GCF of 612 and 614 = GCF of 614 and 612

Related Greatest Common Factor of 612

Related Greatest Common Factor of 614

Frequently Asked Questions on GCF of 612 and 614

1. What is the GCF of 612 and 614?

Answer: GCF of 612 and 614 is 2.

2. What are the Factors of 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

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 612 and 614?

Answer:

Greatest Common Factor of 612 and 614 = 2

Step 1: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

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 612 and 614 is 2