What is the Greatest Common Factor of 24661 and 24667?

Greatest common factor (GCF) of 24661 and 24667 is 1.

GCF(24661,24667) = 1

We will now calculate the prime factors of 24661 and 24667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24661 and 24667.

How to find the GCF of 24661 and 24667?

We will first find the prime factorization of 24661 and 24667. After we will calculate the factors of 24661 and 24667 and find the biggest common factor number .

Step-1: Prime Factorization of 24661

Prime factors of 24661 are 7, 13, 271. Prime factorization of 24661 in exponential form is:

24661 = 7¹ × 13¹ × 271¹

Step-2: Prime Factorization of 24667

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

24667 = 17¹ × 1451¹

Step-3: Factors of 24661

List of positive integer factors of 24661 that divides 24661 without a remainder.

1, 7, 13, 91, 271, 1897, 3523

Step-4: Factors of 24667

List of positive integer factors of 24667 that divides 24661 without a remainder.

1, 17, 1451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24661 and 24667. The biggest common factor number is the GCF number.
So the greatest common factor 24661 and 24667 is 1.

Also check out the Least Common Multiple of 24661 and 24667