What is the Greatest Common Factor of 24667 and 24674?

Greatest common factor (GCF) of 24667 and 24674 is 1.

GCF(24667,24674) = 1

We will now calculate the prime factors of 24667 and 24674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24667 and 24674.

How to find the GCF of 24667 and 24674?

We will first find the prime factorization of 24667 and 24674. After we will calculate the factors of 24667 and 24674 and find the biggest common factor number .

Step-1: Prime Factorization of 24667

Prime factors of 24667 are 17, 1451. Prime factorization of 24667 in exponential form is:

24667 = 17¹ × 1451¹

Step-2: Prime Factorization of 24674

Prime factors of 24674 are 2, 13, 73. Prime factorization of 24674 in exponential form is:

24674 = 2¹ × 13² × 73¹

Step-3: Factors of 24667

List of positive integer factors of 24667 that divides 24667 without a remainder.

1, 17, 1451

Step-4: Factors of 24674

List of positive integer factors of 24674 that divides 24667 without a remainder.

1, 2, 13, 26, 73, 146, 169, 338, 949, 1898, 12337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24667 and 24674. The biggest common factor number is the GCF number.
So the greatest common factor 24667 and 24674 is 1.

Also check out the Least Common Multiple of 24667 and 24674