Greatest Common Factor of 67006 and 67014

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 67006, 67014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67006 and 67014 is 2.

GCF(67006,67014) = 2

GCF of 67006 and 67014

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

GCF of:
and

Greatest Common Factor of 67006 and 67014

GCF of 67006 and 67014 is 2

Prime Factorization of 67006


2 67006
33503 33503
1

Prime factors of 67006 are 2,33503. Prime factorization of 67006 in exponential form is:

67006 = 21×335031

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

∴ So by taking common prime factors GCF of 67006 and 67014 is 2

Greatest Common Factor of 67006 and 67014 by matching factors method

Factors of 67006

List of positive integer factors of 67006 that divides 67006 without a remainder.

1,2,33503,67006

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

Greatest Common Factor

We found the factors and prime factorization of 67006 and 67014. The biggest common factor number is the GCF number.
So the greatest common factor 67006 and 67014 is 2.

Also check out the Least Common Multiple of 67006 and 67014

Properties of GCF 67006 and 67014

(i) The GCF of 67006 and 67014 is associative

GCF of 67006 and 67014 = GCF of 67014 and 67006

Related Greatest Common Factor of 67006

Related Greatest Common Factor of 67014

Frequently Asked Questions on GCF of 67006 and 67014

1. What is the GCF of 67006 and 67014?

Answer: GCF of 67006 and 67014 is 2.

2. What are the Factors of 67006?

Answer: Factors of 67006 are 1, 2, 33503, 67006. There are 4 integers that are factors of 67006. The greatest factor of 67006 is 67006.

3. 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.

4. How to Find the GCF of 67006 and 67014?

Answer:

Greatest Common Factor of 67006 and 67014 = 2

Step 1: Find the prime factorization of 67006

67006 = 2 x 33503

Step 2: Find the prime factorization of 67014

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

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 67006 and 67014 is 2