What is the Greatest Common Factor of 7623 and 7631?

Greatest common factor (GCF) of 7623 and 7631 is 1.

GCF(7623,7631) = 1

We will now calculate the prime factors of 7623 and 7631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7623 and 7631.

How to find the GCF of 7623 and 7631?

We will first find the prime factorization of 7623 and 7631. After we will calculate the factors of 7623 and 7631 and find the biggest common factor number .

Step-1: Prime Factorization of 7623

Prime factors of 7623 are 3, 7, 11. Prime factorization of 7623 in exponential form is:

7623 = 3² × 7¹ × 11²

Step-2: Prime Factorization of 7631

Prime factors of 7631 are 13, 587. Prime factorization of 7631 in exponential form is:

7631 = 13¹ × 587¹

Step-3: Factors of 7623

List of positive integer factors of 7623 that divides 7623 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541

Step-4: Factors of 7631

List of positive integer factors of 7631 that divides 7623 without a remainder.

1, 13, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7623 and 7631. The biggest common factor number is the GCF number.
So the greatest common factor 7623 and 7631 is 1.

Also check out the Least Common Multiple of 7623 and 7631