What is the Greatest Common Factor of 23653 and 23667?

Greatest common factor (GCF) of 23653 and 23667 is 7.

GCF(23653,23667) = 7

We will now calculate the prime factors of 23653 and 23667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23653 and 23667.

How to find the GCF of 23653 and 23667?

We will first find the prime factorization of 23653 and 23667. After we will calculate the factors of 23653 and 23667 and find the biggest common factor number .

Step-1: Prime Factorization of 23653

Prime factors of 23653 are 7, 31, 109. Prime factorization of 23653 in exponential form is:

23653 = 7¹ × 31¹ × 109¹

Step-2: Prime Factorization of 23667

Prime factors of 23667 are 3, 7, 23. Prime factorization of 23667 in exponential form is:

23667 = 3¹ × 7³ × 23¹

Step-3: Factors of 23653

List of positive integer factors of 23653 that divides 23653 without a remainder.

1, 7, 31, 109, 217, 763, 3379

Step-4: Factors of 23667

List of positive integer factors of 23667 that divides 23653 without a remainder.

1, 3, 7, 21, 23, 49, 69, 147, 161, 343, 483, 1029, 1127, 3381, 7889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23653 and 23667. The biggest common factor number is the GCF number.
So the greatest common factor 23653 and 23667 is 7.

Also check out the Least Common Multiple of 23653 and 23667