Greatest Common Factor of 67007 and 67012

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, 67012 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67007 and 67012 is 1.

GCF(67007,67012) = 1

GCF of 67007 and 67012

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

GCF of:
and

Greatest Common Factor of 67007 and 67012

GCF of 67007 and 67012 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 67012


2 67012
2 33506
11 16753
1523 1523
1

Prime factors of 67012 are 2,11,1523. Prime factorization of 67012 in exponential form is:

67012 = 22×111×15231

∴ So by taking common prime factors GCF of 67007 and 67012 is 1

Greatest Common Factor of 67007 and 67012 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 67012

List of positive integer factors of 67012 that divides 67012 without a remainder.

1,2,4,11,22,44,1523,3046,6092,16753,33506,67012

Greatest Common Factor

We found the factors and prime factorization of 67007 and 67012. The biggest common factor number is the GCF number.
So the greatest common factor 67007 and 67012 is 1.

Also check out the Least Common Multiple of 67007 and 67012

Properties of GCF 67007 and 67012

(i) The GCF of 67007 and 67012 is associative

GCF of 67007 and 67012 = GCF of 67012 and 67007

Related Greatest Common Factor of 67007

Related Greatest Common Factor of 67012

Frequently Asked Questions on GCF of 67007 and 67012

1. What is the GCF of 67007 and 67012?

Answer: GCF of 67007 and 67012 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 67012?

Answer: Factors of 67012 are 1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012. There are 12 integers that are factors of 67012. The greatest factor of 67012 is 67012.

4. How to Find the GCF of 67007 and 67012?

Answer:

Greatest Common Factor of 67007 and 67012 = 1

Step 1: Find the prime factorization of 67007

67007 = 37 x 1811

Step 2: Find the prime factorization of 67012

67012 = 2 x 2 x 11 x 1523

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 67012 is 1