Greatest Common Factor of 66998 and 67004

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 66998, 67004 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66998 and 67004 is 2.

GCF(66998,67004) = 2

GCF of 66998 and 67004

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

GCF of:
and

Greatest Common Factor of 66998 and 67004

GCF of 66998 and 67004 is 2

Prime Factorization of 66998


2 66998
139 33499
241 241
1

Prime factors of 66998 are 2,139,241. Prime factorization of 66998 in exponential form is:

66998 = 21×1391×2411

Prime Factorization of 67004


2 67004
2 33502
7 16751
2393 2393
1

Prime factors of 67004 are 2,7,2393. Prime factorization of 67004 in exponential form is:

67004 = 22×71×23931

∴ So by taking common prime factors GCF of 66998 and 67004 is 2

Greatest Common Factor of 66998 and 67004 by matching factors method

Factors of 66998

List of positive integer factors of 66998 that divides 66998 without a remainder.

1,2,139,241,278,482,33499,66998

Factors of 67004

List of positive integer factors of 67004 that divides 67004 without a remainder.

1,2,4,7,14,28,2393,4786,9572,16751,33502,67004

Greatest Common Factor

We found the factors and prime factorization of 66998 and 67004. The biggest common factor number is the GCF number.
So the greatest common factor 66998 and 67004 is 2.

Also check out the Least Common Multiple of 66998 and 67004

Properties of GCF 66998 and 67004

(i) The GCF of 66998 and 67004 is associative

GCF of 66998 and 67004 = GCF of 67004 and 66998

Related Greatest Common Factor of 66998

Related Greatest Common Factor of 67004

Frequently Asked Questions on GCF of 66998 and 67004

1. What is the GCF of 66998 and 67004?

Answer: GCF of 66998 and 67004 is 2.

2. What are the Factors of 66998?

Answer: Factors of 66998 are 1, 2, 139, 241, 278, 482, 33499, 66998. There are 8 integers that are factors of 66998. The greatest factor of 66998 is 66998.

3. What are the Factors of 67004?

Answer: Factors of 67004 are 1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004. There are 12 integers that are factors of 67004. The greatest factor of 67004 is 67004.

4. How to Find the GCF of 66998 and 67004?

Answer:

Greatest Common Factor of 66998 and 67004 = 2

Step 1: Find the prime factorization of 66998

66998 = 2 x 139 x 241

Step 2: Find the prime factorization of 67004

67004 = 2 x 2 x 7 x 2393

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 66998 and 67004 is 2