What is the Greatest Common Factor of 23667 and 23674?

Greatest common factor (GCF) of 23667 and 23674 is 7.

GCF(23667,23674) = 7

We will now calculate the prime factors of 23667 and 23674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23667 and 23674.

How to find the GCF of 23667 and 23674?

We will first find the prime factorization of 23667 and 23674. After we will calculate the factors of 23667 and 23674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23674

Prime factors of 23674 are 2, 7, 19, 89. Prime factorization of 23674 in exponential form is:

23674 = 2¹ × 7¹ × 19¹ × 89¹

Step-3: Factors of 23667

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

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

Step-4: Factors of 23674

List of positive integer factors of 23674 that divides 23667 without a remainder.

1, 2, 7, 14, 19, 38, 89, 133, 178, 266, 623, 1246, 1691, 3382, 11837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23667 and 23674. The biggest common factor number is the GCF number.
So the greatest common factor 23667 and 23674 is 7.

Also check out the Least Common Multiple of 23667 and 23674