Greatest Common Factor of 67027 and 67034

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 67027, 67034 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67027 and 67034 is 1.

GCF(67027,67034) = 1

GCF of 67027 and 67034

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

GCF of:
and

Greatest Common Factor of 67027 and 67034

GCF of 67027 and 67034 is 1

Prime Factorization of 67027


97 67027
691 691
1

Prime factors of 67027 are 97,691. Prime factorization of 67027 in exponential form is:

67027 = 971×6911

Prime Factorization of 67034


2 67034
11 33517
11 3047
277 277
1

Prime factors of 67034 are 2,11,277. Prime factorization of 67034 in exponential form is:

67034 = 21×112×2771

∴ So by taking common prime factors GCF of 67027 and 67034 is 1

Greatest Common Factor of 67027 and 67034 by matching factors method

Factors of 67027

List of positive integer factors of 67027 that divides 67027 without a remainder.

1,97,691,67027

Factors of 67034

List of positive integer factors of 67034 that divides 67034 without a remainder.

1,2,11,22,121,242,277,554,3047,6094,33517,67034

Greatest Common Factor

We found the factors and prime factorization of 67027 and 67034. The biggest common factor number is the GCF number.
So the greatest common factor 67027 and 67034 is 1.

Also check out the Least Common Multiple of 67027 and 67034

Properties of GCF 67027 and 67034

(i) The GCF of 67027 and 67034 is associative

GCF of 67027 and 67034 = GCF of 67034 and 67027

Frequently Asked Questions on GCF of 67027 and 67034

1. What is the GCF of 67027 and 67034?

Answer: GCF of 67027 and 67034 is 1.

2. What are the Factors of 67027?

Answer: Factors of 67027 are 1, 97, 691, 67027. There are 4 integers that are factors of 67027. The greatest factor of 67027 is 67027.

3. What are the Factors of 67034?

Answer: Factors of 67034 are 1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034. There are 12 integers that are factors of 67034. The greatest factor of 67034 is 67034.

4. How to Find the GCF of 67027 and 67034?

Answer:

Greatest Common Factor of 67027 and 67034 = 1

Step 1: Find the prime factorization of 67027

67027 = 97 x 691

Step 2: Find the prime factorization of 67034

67034 = 2 x 11 x 11 x 277

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 67027 and 67034 is 1