What is the Greatest Common Factor of 23674 and 23693?

Greatest common factor (GCF) of 23674 and 23693 is 19.

GCF(23674,23693) = 19

We will now calculate the prime factors of 23674 and 23693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23674 and 23693.

How to find the GCF of 23674 and 23693?

We will first find the prime factorization of 23674 and 23693. After we will calculate the factors of 23674 and 23693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23693

Prime factors of 23693 are 19, 29, 43. Prime factorization of 23693 in exponential form is:

23693 = 19¹ × 29¹ × 43¹

Step-3: Factors of 23674

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

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

Step-4: Factors of 23693

List of positive integer factors of 23693 that divides 23674 without a remainder.

1, 19, 29, 43, 551, 817, 1247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23674 and 23693. The biggest common factor number is the GCF number.
So the greatest common factor 23674 and 23693 is 19.

Also check out the Least Common Multiple of 23674 and 23693