Greatest Common Factor of 39034 and 39042

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 39034, 39042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39034 and 39042 is 2.

GCF(39034,39042) = 2

GCF of 39034 and 39042

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

GCF of:
and

Greatest Common Factor of 39034 and 39042

GCF of 39034 and 39042 is 2

Prime Factorization of 39034


2 39034
29 19517
673 673
1

Prime factors of 39034 are 2,29,673. Prime factorization of 39034 in exponential form is:

39034 = 21×291×6731

Prime Factorization of 39042


2 39042
3 19521
3 6507
3 2169
3 723
241 241
1

Prime factors of 39042 are 2,3,241. Prime factorization of 39042 in exponential form is:

39042 = 21×34×2411

∴ So by taking common prime factors GCF of 39034 and 39042 is 2

Greatest Common Factor of 39034 and 39042 by matching factors method

Factors of 39034

List of positive integer factors of 39034 that divides 39034 without a remainder.

1,2,29,58,673,1346,19517,39034

Factors of 39042

List of positive integer factors of 39042 that divides 39042 without a remainder.

1,2,3,6,9,18,27,54,81,162,241,482,723,1446,2169,4338,6507,13014,19521,39042

Greatest Common Factor

We found the factors and prime factorization of 39034 and 39042. The biggest common factor number is the GCF number.
So the greatest common factor 39034 and 39042 is 2.

Also check out the Least Common Multiple of 39034 and 39042

Properties of GCF 39034 and 39042

(i) The GCF of 39034 and 39042 is associative

GCF of 39034 and 39042 = GCF of 39042 and 39034

Related Greatest Common Factor of 39034

Related Greatest Common Factor of 39042

Frequently Asked Questions on GCF of 39034 and 39042

1. What is the GCF of 39034 and 39042?

Answer: GCF of 39034 and 39042 is 2.

2. What are the Factors of 39034?

Answer: Factors of 39034 are 1, 2, 29, 58, 673, 1346, 19517, 39034. There are 8 integers that are factors of 39034. The greatest factor of 39034 is 39034.

3. What are the Factors of 39042?

Answer: Factors of 39042 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 241, 482, 723, 1446, 2169, 4338, 6507, 13014, 19521, 39042. There are 20 integers that are factors of 39042. The greatest factor of 39042 is 39042.

4. How to Find the GCF of 39034 and 39042?

Answer:

Greatest Common Factor of 39034 and 39042 = 2

Step 1: Find the prime factorization of 39034

39034 = 2 x 29 x 673

Step 2: Find the prime factorization of 39042

39042 = 2 x 3 x 3 x 3 x 3 x 241

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 39034 and 39042 is 2