Greatest Common Factor of 623 and 631

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 623, 631 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 623 and 631 is 1.

GCF(623,631) = 1

GCF of 623 and 631

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

GCF of:
and

Greatest Common Factor of 623 and 631

GCF of 623 and 631 is 1

Prime Factorization of 623


7 623
89 89
1

Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:

623 = 71×891

Prime Factorization of 631


631 631
1

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

631 = 6311

∴ So by taking common prime factors GCF of 623 and 631 is 1

Greatest Common Factor of 623 and 631 by matching factors method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

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 623 and 631. The biggest common factor number is the GCF number.
So the greatest common factor 623 and 631 is 1.

Also check out the Least Common Multiple of 623 and 631

Properties of GCF 623 and 631

(i) The GCF of 623 and 631 is associative

GCF of 623 and 631 = GCF of 631 and 623

Related Greatest Common Factor of 623

Related Greatest Common Factor of 631

Frequently Asked Questions on GCF of 623 and 631

1. What is the GCF of 623 and 631?

Answer: GCF of 623 and 631 is 1.

2. What are the Factors of 623?

Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.

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 623 and 631?

Answer:

Greatest Common Factor of 623 and 631 = 1

Step 1: Find the prime factorization of 623

623 = 7 x 89

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 623 and 631 is 1