What is the Greatest Common Factor of 24689 and 24696?

Greatest common factor (GCF) of 24689 and 24696 is 7.

GCF(24689,24696) = 7

We will now calculate the prime factors of 24689 and 24696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24689 and 24696.

How to find the GCF of 24689 and 24696?

We will first find the prime factorization of 24689 and 24696. After we will calculate the factors of 24689 and 24696 and find the biggest common factor number .

Step-1: Prime Factorization of 24689

Prime factors of 24689 are 7, 3527. Prime factorization of 24689 in exponential form is:

24689 = 7¹ × 3527¹

Step-2: Prime Factorization of 24696

Prime factors of 24696 are 2, 3, 7. Prime factorization of 24696 in exponential form is:

24696 = 2³ × 3² × 7³

Step-3: Factors of 24689

List of positive integer factors of 24689 that divides 24689 without a remainder.

1, 7, 3527

Step-4: Factors of 24696

List of positive integer factors of 24696 that divides 24689 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 343, 392, 441, 504, 588, 686, 882, 1029, 1176, 1372, 1764, 2058, 2744, 3087, 3528, 4116, 6174, 8232, 12348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24689 and 24696. The biggest common factor number is the GCF number.
So the greatest common factor 24689 and 24696 is 7.

Also check out the Least Common Multiple of 24689 and 24696