Greatest Common Factor of 29 and 31

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

• Greatest Common Factor of 29 and 31 by prime factorization method
• Greatest Common Factor of 29 and 31 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 31

Prime factors of 31 are 31.Prime factorization of 31 in exponential form is:

31 = 31¹

∴ So by taking common prime factors GCF of 29 and 31 is 1

Factors of 29

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

1,29

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors and prime factorization of 29 and 31. The biggest common factor number is the GCF number.
So the greatest common factor 29 and 31 is 1.

Also check out the Least Common Multiple of 29 and 31

(i) The GCF of 29 and 31 is associative

GCF of 29 and 31 = GCF of 31 and 29

1. What is the GCF of 29 and 31?

Answer: GCF of 29 and 31 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 31?

Answer: Factors of 31 are 1, 31. There are 2 integers that are factors of 31. The greatest factor of 31 is 31.

4. How to Find the GCF of 29 and 31?

Answer:

Greatest Common Factor of 29 and 31 = 1

Step 1: Find the prime factorization of 29

29 = 29

Step 2: Find the prime factorization of 31

31 = 31

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 31 is 1