Greatest Common Factor of 66989 and 66993

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 66989, 66993 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66989 and 66993 is 1.

GCF(66989,66993) = 1

GCF of 66989 and 66993

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

GCF of:
and

Greatest Common Factor of 66989 and 66993

GCF of 66989 and 66993 is 1

Prime Factorization of 66989


13 66989
5153 5153
1

Prime factors of 66989 are 13,5153. Prime factorization of 66989 in exponential form is:

66989 = 131×51531

Prime Factorization of 66993


3 66993
137 22331
163 163
1

Prime factors of 66993 are 3,137,163. Prime factorization of 66993 in exponential form is:

66993 = 31×1371×1631

∴ So by taking common prime factors GCF of 66989 and 66993 is 1

Greatest Common Factor of 66989 and 66993 by matching factors method

Factors of 66989

List of positive integer factors of 66989 that divides 66989 without a remainder.

1,13,5153,66989

Factors of 66993

List of positive integer factors of 66993 that divides 66993 without a remainder.

1,3,137,163,411,489,22331,66993

Greatest Common Factor

We found the factors and prime factorization of 66989 and 66993. The biggest common factor number is the GCF number.
So the greatest common factor 66989 and 66993 is 1.

Also check out the Least Common Multiple of 66989 and 66993

Properties of GCF 66989 and 66993

(i) The GCF of 66989 and 66993 is associative

GCF of 66989 and 66993 = GCF of 66993 and 66989

Frequently Asked Questions on GCF of 66989 and 66993

1. What is the GCF of 66989 and 66993?

Answer: GCF of 66989 and 66993 is 1.

2. What are the Factors of 66989?

Answer: Factors of 66989 are 1, 13, 5153, 66989. There are 4 integers that are factors of 66989. The greatest factor of 66989 is 66989.

3. What are the Factors of 66993?

Answer: Factors of 66993 are 1, 3, 137, 163, 411, 489, 22331, 66993. There are 8 integers that are factors of 66993. The greatest factor of 66993 is 66993.

4. How to Find the GCF of 66989 and 66993?

Answer:

Greatest Common Factor of 66989 and 66993 = 1

Step 1: Find the prime factorization of 66989

66989 = 13 x 5153

Step 2: Find the prime factorization of 66993

66993 = 3 x 137 x 163

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 66989 and 66993 is 1