Greatest Common Factor of 39021 and 39026

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 39021, 39026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39021 and 39026 is 1.

GCF(39021,39026) = 1

GCF of 39021 and 39026

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

GCF of:
and

Greatest Common Factor of 39021 and 39026

GCF of 39021 and 39026 is 1

Prime Factorization of 39021


3 39021
13007 13007
1

Prime factors of 39021 are 3,13007. Prime factorization of 39021 in exponential form is:

39021 = 31×130071

Prime Factorization of 39026


2 39026
13 19513
19 1501
79 79
1

Prime factors of 39026 are 2,13,19,79. Prime factorization of 39026 in exponential form is:

39026 = 21×131×191×791

∴ So by taking common prime factors GCF of 39021 and 39026 is 1

Greatest Common Factor of 39021 and 39026 by matching factors method

Factors of 39021

List of positive integer factors of 39021 that divides 39021 without a remainder.

1,3,13007,39021

Factors of 39026

List of positive integer factors of 39026 that divides 39026 without a remainder.

1,2,13,19,26,38,79,158,247,494,1027,1501,2054,3002,19513,39026

Greatest Common Factor

We found the factors and prime factorization of 39021 and 39026. The biggest common factor number is the GCF number.
So the greatest common factor 39021 and 39026 is 1.

Also check out the Least Common Multiple of 39021 and 39026

Properties of GCF 39021 and 39026

(i) The GCF of 39021 and 39026 is associative

GCF of 39021 and 39026 = GCF of 39026 and 39021

Frequently Asked Questions on GCF of 39021 and 39026

1. What is the GCF of 39021 and 39026?

Answer: GCF of 39021 and 39026 is 1.

2. What are the Factors of 39021?

Answer: Factors of 39021 are 1, 3, 13007, 39021. There are 4 integers that are factors of 39021. The greatest factor of 39021 is 39021.

3. What are the Factors of 39026?

Answer: Factors of 39026 are 1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026. There are 16 integers that are factors of 39026. The greatest factor of 39026 is 39026.

4. How to Find the GCF of 39021 and 39026?

Answer:

Greatest Common Factor of 39021 and 39026 = 1

Step 1: Find the prime factorization of 39021

39021 = 3 x 13007

Step 2: Find the prime factorization of 39026

39026 = 2 x 13 x 19 x 79

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 39021 and 39026 is 1