Greatest Common Factor of 67007 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 67007, 67014 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67007 and 67014 is 1.

GCF(67007,67014) = 1

GCF of 67007 and 67014

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

GCF of:
and

Greatest Common Factor of 67007 and 67014

GCF of 67007 and 67014 is 1

Prime Factorization of 67007


37 67007
1811 1811
1

Prime factors of 67007 are 37,1811. Prime factorization of 67007 in exponential form is:

67007 = 371×18111

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 67007 and 67014 is 1

Greatest Common Factor of 67007 and 67014 by matching factors method

Factors of 67007

List of positive integer factors of 67007 that divides 67007 without a remainder.

1,37,1811,67007

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 67007 and 67014. The biggest common factor number is the GCF number.
So the greatest common factor 67007 and 67014 is 1.

Also check out the Least Common Multiple of 67007 and 67014

Properties of GCF 67007 and 67014

(i) The GCF of 67007 and 67014 is associative

GCF of 67007 and 67014 = GCF of 67014 and 67007

Related Greatest Common Factor of 67007

Related Greatest Common Factor of 67014

Frequently Asked Questions on GCF of 67007 and 67014

1. What is the GCF of 67007 and 67014?

Answer: GCF of 67007 and 67014 is 1.

2. What are the Factors of 67007?

Answer: Factors of 67007 are 1, 37, 1811, 67007. There are 4 integers that are factors of 67007. The greatest factor of 67007 is 67007.

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 67007 and 67014?

Answer:

Greatest Common Factor of 67007 and 67014 = 1

Step 1: Find the prime factorization of 67007

67007 = 37 x 1811

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 = = 1

Step 4: Therefore, the greatest common factor of 67007 and 67014 is 1