What is the Greatest Common Factor of 24698 and 24716?

Greatest common factor (GCF) of 24698 and 24716 is 2.

GCF(24698,24716) = 2

We will now calculate the prime factors of 24698 and 24716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24698 and 24716.

How to find the GCF of 24698 and 24716?

We will first find the prime factorization of 24698 and 24716. After we will calculate the factors of 24698 and 24716 and find the biggest common factor number .

Step-1: Prime Factorization of 24698

Prime factors of 24698 are 2, 53, 233. Prime factorization of 24698 in exponential form is:

24698 = 2¹ × 53¹ × 233¹

Step-2: Prime Factorization of 24716

Prime factors of 24716 are 2, 37, 167. Prime factorization of 24716 in exponential form is:

24716 = 2² × 37¹ × 167¹

Step-3: Factors of 24698

List of positive integer factors of 24698 that divides 24698 without a remainder.

1, 2, 53, 106, 233, 466, 12349

Step-4: Factors of 24716

List of positive integer factors of 24716 that divides 24698 without a remainder.

1, 2, 4, 37, 74, 148, 167, 334, 668, 6179, 12358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24698 and 24716. The biggest common factor number is the GCF number.
So the greatest common factor 24698 and 24716 is 2.

Also check out the Least Common Multiple of 24698 and 24716