Greatest Common Factor of 66982 and 66987

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 66982, 66987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66982 and 66987 is 1.

GCF(66982,66987) = 1

GCF of 66982 and 66987

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

GCF of:
and

Greatest Common Factor of 66982 and 66987

GCF of 66982 and 66987 is 1

Prime Factorization of 66982


2 66982
107 33491
313 313
1

Prime factors of 66982 are 2,107,313. Prime factorization of 66982 in exponential form is:

66982 = 21×1071×3131

Prime Factorization of 66987


3 66987
3 22329
3 7443
3 2481
827 827
1

Prime factors of 66987 are 3,827. Prime factorization of 66987 in exponential form is:

66987 = 34×8271

∴ So by taking common prime factors GCF of 66982 and 66987 is 1

Greatest Common Factor of 66982 and 66987 by matching factors method

Factors of 66982

List of positive integer factors of 66982 that divides 66982 without a remainder.

1,2,107,214,313,626,33491,66982

Factors of 66987

List of positive integer factors of 66987 that divides 66987 without a remainder.

1,3,9,27,81,827,2481,7443,22329,66987

Greatest Common Factor

We found the factors and prime factorization of 66982 and 66987. The biggest common factor number is the GCF number.
So the greatest common factor 66982 and 66987 is 1.

Also check out the Least Common Multiple of 66982 and 66987

Properties of GCF 66982 and 66987

(i) The GCF of 66982 and 66987 is associative

GCF of 66982 and 66987 = GCF of 66987 and 66982

Related Greatest Common Factor of 66982

Related Greatest Common Factor of 66987

Frequently Asked Questions on GCF of 66982 and 66987

1. What is the GCF of 66982 and 66987?

Answer: GCF of 66982 and 66987 is 1.

2. What are the Factors of 66982?

Answer: Factors of 66982 are 1, 2, 107, 214, 313, 626, 33491, 66982. There are 8 integers that are factors of 66982. The greatest factor of 66982 is 66982.

3. What are the Factors of 66987?

Answer: Factors of 66987 are 1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987. There are 10 integers that are factors of 66987. The greatest factor of 66987 is 66987.

4. How to Find the GCF of 66982 and 66987?

Answer:

Greatest Common Factor of 66982 and 66987 = 1

Step 1: Find the prime factorization of 66982

66982 = 2 x 107 x 313

Step 2: Find the prime factorization of 66987

66987 = 3 x 3 x 3 x 3 x 827

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 66982 and 66987 is 1