Greatest Common Factor of 67014 and 67016

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 67014, 67016 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67014 and 67016 is 2.

GCF(67014,67016) = 2

GCF of 67014 and 67016

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

GCF of:
and

Greatest Common Factor of 67014 and 67016

GCF of 67014 and 67016 is 2

Prime Factorization of 67014


2 67014
3 33507
3 11169
3 3723
17 1241
73 73
1

Prime factors of 67014 are 2,3,17,73. Prime factorization of 67014 in exponential form is:

67014 = 21×33×171×731

Prime Factorization of 67016


2 67016
2 33508
2 16754
8377 8377
1

Prime factors of 67016 are 2,8377. Prime factorization of 67016 in exponential form is:

67016 = 23×83771

∴ So by taking common prime factors GCF of 67014 and 67016 is 2

Greatest Common Factor of 67014 and 67016 by matching factors method

Factors of 67014

List of positive integer factors of 67014 that divides 67014 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,73,102,146,153,219,306,438,459,657,918,1241,1314,1971,2482,3723,3942,7446,11169,22338,33507,67014

Factors of 67016

List of positive integer factors of 67016 that divides 67016 without a remainder.

1,2,4,8,8377,16754,33508,67016

Greatest Common Factor

We found the factors and prime factorization of 67014 and 67016. The biggest common factor number is the GCF number.
So the greatest common factor 67014 and 67016 is 2.

Also check out the Least Common Multiple of 67014 and 67016

Properties of GCF 67014 and 67016

(i) The GCF of 67014 and 67016 is associative

GCF of 67014 and 67016 = GCF of 67016 and 67014

Related Greatest Common Factor of 67014

Related Greatest Common Factor of 67016

Frequently Asked Questions on GCF of 67014 and 67016

1. What is the GCF of 67014 and 67016?

Answer: GCF of 67014 and 67016 is 2.

2. What are the Factors of 67014?

Answer: Factors of 67014 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507, 67014. There are 32 integers that are factors of 67014. The greatest factor of 67014 is 67014.

3. What are the Factors of 67016?

Answer: Factors of 67016 are 1, 2, 4, 8, 8377, 16754, 33508, 67016. There are 8 integers that are factors of 67016. The greatest factor of 67016 is 67016.

4. How to Find the GCF of 67014 and 67016?

Answer:

Greatest Common Factor of 67014 and 67016 = 2

Step 1: Find the prime factorization of 67014

67014 = 2 x 3 x 3 x 3 x 17 x 73

Step 2: Find the prime factorization of 67016

67016 = 2 x 2 x 2 x 8377

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 67014 and 67016 is 2