Greatest Common Factor of 29 and 34

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

• Greatest Common Factor of 29 and 34 by prime factorization method
• Greatest Common Factor of 29 and 34 by matching factors method

Prime Factorization of 29

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 29¹

Prime Factorization of 34

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

34 = 2¹×17¹

∴ So by taking common prime factors GCF of 29 and 34 is 1

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 34

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

1,2,17,34

Greatest Common Factor

We found the factors and prime factorization of 29 and 34. The biggest common factor number is the GCF number.
So the greatest common factor 29 and 34 is 1.

Also check out the Least Common Multiple of 29 and 34

(i) The GCF of 29 and 34 is associative

GCF of 29 and 34 = GCF of 34 and 29

1. What is the GCF of 29 and 34?

Answer: GCF of 29 and 34 is 1.

2. What are the Factors of 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

3. 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.

4. How to Find the GCF of 29 and 34?

Answer:

Greatest Common Factor of 29 and 34 = 1

Step 1: Find the prime factorization of 29

29 = 29

Step 2: Find the prime factorization of 34

34 = 2 x 17

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 29 and 34 is 1