Greatest Common Factor of 629 and 631

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

• Greatest Common Factor of 629 and 631 by prime factorization method
• Greatest Common Factor of 629 and 631 by matching factors method

Prime Factorization of 629

Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:

629 = 17¹×37¹

Prime Factorization of 631

Prime factors of 631 are 631. Prime factorization of 631 in exponential form is:

631 = 631¹

∴ So by taking common prime factors GCF of 629 and 631 is 1

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors and prime factorization of 629 and 631. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 631 is 1.

Also check out the Least Common Multiple of 629 and 631

(i) The GCF of 629 and 631 is associative

GCF of 629 and 631 = GCF of 631 and 629

1. What is the GCF of 629 and 631?

Answer: GCF of 629 and 631 is 1.

2. What are the Factors of 629?

Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.

3. What are the Factors of 631?

Answer: Factors of 631 are 1, 631. There are 2 integers that are factors of 631. The greatest factor of 631 is 631.

4. How to Find the GCF of 629 and 631?

Answer:

Greatest Common Factor of 629 and 631 = 1

Step 1: Find the prime factorization of 629

629 = 17 x 37

Step 2: Find the prime factorization of 631

631 = 631

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 629 and 631 is 1