What is the Greatest Common Factor of 7623 and 7634?

Greatest common factor (GCF) of 7623 and 7634 is 11.

GCF(7623,7634) = 11

We will now calculate the prime factors of 7623 and 7634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7623 and 7634.

How to find the GCF of 7623 and 7634?

We will first find the prime factorization of 7623 and 7634. After we will calculate the factors of 7623 and 7634 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 7634

Prime factors of 7634 are 2, 11, 347. Prime factorization of 7634 in exponential form is:

7634 = 2¹ × 11¹ × 347¹

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 7634

List of positive integer factors of 7634 that divides 7623 without a remainder.

1, 2, 11, 22, 347, 694, 3817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7623 and 7634. The biggest common factor number is the GCF number.
So the greatest common factor 7623 and 7634 is 11.

Also check out the Least Common Multiple of 7623 and 7634