Greatest Common Factor of 35 and 39

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 35, 39 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35 and 39 is 1.

GCF(35,39) = 1

GCF of 35 and 39

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

GCF of:
and

Greatest Common Factor of 35 and 39

GCF of 35 and 39 is 1

Prime Factorization of 35


5 35
7 7
1

Prime factors of 35 are 5,7. Prime factorization of 35 in exponential form is:

35 = 51×71

Prime Factorization of 39


3 39
13 13
1

Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:

39 = 31×131

∴ So by taking common prime factors GCF of 35 and 39 is 1

Greatest Common Factor of 35 and 39 by matching factors method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors and prime factorization of 35 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 35 and 39 is 1.

Also check out the Least Common Multiple of 35 and 39

Properties of GCF 35 and 39

(i) The GCF of 35 and 39 is associative

GCF of 35 and 39 = GCF of 39 and 35

Related Greatest Common Factor of 35

Related Greatest Common Factor of 39

Frequently Asked Questions on GCF of 35 and 39

1. What is the GCF of 35 and 39?

Answer: GCF of 35 and 39 is 1.

2. What are the Factors of 35?

Answer: Factors of 35 are 1, 5, 7, 35. There are 4 integers that are factors of 35. The greatest factor of 35 is 35.

3. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. How to Find the GCF of 35 and 39?

Answer:

Greatest Common Factor of 35 and 39 = 1

Step 1: Find the prime factorization of 35

35 = 5 x 7

Step 2: Find the prime factorization of 39

39 = 3 x 13

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 35 and 39 is 1