Greatest Common Factor of 34 and 37

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 34, 37 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34 and 37 is 1.

GCF(34,37) = 1

GCF of 34 and 37

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

GCF of:
and

Greatest Common Factor of 34 and 37

GCF of 34 and 37 is 1

Prime Factorization of 34


2 34
17 17
1

Prime factors of 34 are 2,17. Prime factorization of 34 in exponential form is:

34 = 21×171

Prime Factorization of 37


37 37
1

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 371

∴ So by taking common prime factors GCF of 34 and 37 is 1

Greatest Common Factor of 34 and 37 by matching factors method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors and prime factorization of 34 and 37. The biggest common factor number is the GCF number.
So the greatest common factor 34 and 37 is 1.

Also check out the Least Common Multiple of 34 and 37

Properties of GCF 34 and 37

(i) The GCF of 34 and 37 is associative

GCF of 34 and 37 = GCF of 37 and 34

Related Greatest Common Factor of 34

Related Greatest Common Factor of 37

Frequently Asked Questions on GCF of 34 and 37

1. What is the GCF of 34 and 37?

Answer: GCF of 34 and 37 is 1.

2. What are the Factors of 34?

Answer: Factors of 34 are 1, 2, 17, 34. There are 4 integers that are factors of 34. The greatest factor of 34 is 34.

3. What are the Factors of 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

4. How to Find the GCF of 34 and 37?

Answer:

Greatest Common Factor of 34 and 37 = 1

Step 1: Find the prime factorization of 34

34 = 2 x 17

Step 2: Find the prime factorization of 37

37 = 37

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 34 and 37 is 1