Greatest Common Factor of 66997 and 67002

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 66997, 67002 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66997 and 67002 is 1.

GCF(66997,67002) = 1

GCF of 66997 and 67002

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

GCF of:
and

Greatest Common Factor of 66997 and 67002

GCF of 66997 and 67002 is 1

Prime Factorization of 66997


7 66997
17 9571
563 563
1

Prime factors of 66997 are 7,17,563. Prime factorization of 66997 in exponential form is:

66997 = 71×171×5631

Prime Factorization of 67002


2 67002
3 33501
13 11167
859 859
1

Prime factors of 67002 are 2,3,13,859. Prime factorization of 67002 in exponential form is:

67002 = 21×31×131×8591

∴ So by taking common prime factors GCF of 66997 and 67002 is 1

Greatest Common Factor of 66997 and 67002 by matching factors method

Factors of 66997

List of positive integer factors of 66997 that divides 66997 without a remainder.

1,7,17,119,563,3941,9571,66997

Factors of 67002

List of positive integer factors of 67002 that divides 67002 without a remainder.

1,2,3,6,13,26,39,78,859,1718,2577,5154,11167,22334,33501,67002

Greatest Common Factor

We found the factors and prime factorization of 66997 and 67002. The biggest common factor number is the GCF number.
So the greatest common factor 66997 and 67002 is 1.

Also check out the Least Common Multiple of 66997 and 67002

Properties of GCF 66997 and 67002

(i) The GCF of 66997 and 67002 is associative

GCF of 66997 and 67002 = GCF of 67002 and 66997

Related Greatest Common Factor of 66997

Related Greatest Common Factor of 67002

Frequently Asked Questions on GCF of 66997 and 67002

1. What is the GCF of 66997 and 67002?

Answer: GCF of 66997 and 67002 is 1.

2. What are the Factors of 66997?

Answer: Factors of 66997 are 1, 7, 17, 119, 563, 3941, 9571, 66997. There are 8 integers that are factors of 66997. The greatest factor of 66997 is 66997.

3. What are the Factors of 67002?

Answer: Factors of 67002 are 1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501, 67002. There are 16 integers that are factors of 67002. The greatest factor of 67002 is 67002.

4. How to Find the GCF of 66997 and 67002?

Answer:

Greatest Common Factor of 66997 and 67002 = 1

Step 1: Find the prime factorization of 66997

66997 = 7 x 17 x 563

Step 2: Find the prime factorization of 67002

67002 = 2 x 3 x 13 x 859

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 66997 and 67002 is 1