Greatest Common Factor of 67034 and 67042

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 67034, 67042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67034 and 67042 is 2.

GCF(67034,67042) = 2

GCF of 67034 and 67042

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

GCF of:
and

Greatest Common Factor of 67034 and 67042

GCF of 67034 and 67042 is 2

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

Prime Factorization of 67042


2 67042
33521 33521
1

Prime factors of 67042 are 2,33521. Prime factorization of 67042 in exponential form is:

67042 = 21×335211

∴ So by taking common prime factors GCF of 67034 and 67042 is 2

Greatest Common Factor of 67034 and 67042 by matching factors method

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

Factors of 67042

List of positive integer factors of 67042 that divides 67042 without a remainder.

1,2,33521,67042

Greatest Common Factor

We found the factors and prime factorization of 67034 and 67042. The biggest common factor number is the GCF number.
So the greatest common factor 67034 and 67042 is 2.

Also check out the Least Common Multiple of 67034 and 67042

Properties of GCF 67034 and 67042

(i) The GCF of 67034 and 67042 is associative

GCF of 67034 and 67042 = GCF of 67042 and 67034

Related Greatest Common Factor of 67034

Related Greatest Common Factor of 67042

Frequently Asked Questions on GCF of 67034 and 67042

1. What is the GCF of 67034 and 67042?

Answer: GCF of 67034 and 67042 is 2.

2. 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.

3. What are the Factors of 67042?

Answer: Factors of 67042 are 1, 2, 33521, 67042. There are 4 integers that are factors of 67042. The greatest factor of 67042 is 67042.

4. How to Find the GCF of 67034 and 67042?

Answer:

Greatest Common Factor of 67034 and 67042 = 2

Step 1: Find the prime factorization of 67034

67034 = 2 x 11 x 11 x 277

Step 2: Find the prime factorization of 67042

67042 = 2 x 33521

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 67034 and 67042 is 2