What is the Greatest Common Factor of 24688 and 24698?

Greatest common factor (GCF) of 24688 and 24698 is 2.

GCF(24688,24698) = 2

We will now calculate the prime factors of 24688 and 24698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24688 and 24698.

How to find the GCF of 24688 and 24698?

We will first find the prime factorization of 24688 and 24698. After we will calculate the factors of 24688 and 24698 and find the biggest common factor number .

Step-1: Prime Factorization of 24688

Prime factors of 24688 are 2, 1543. Prime factorization of 24688 in exponential form is:

24688 = 2⁴ × 1543¹

Step-2: 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-3: Factors of 24688

List of positive integer factors of 24688 that divides 24688 without a remainder.

1, 2, 4, 8, 16, 1543, 3086, 6172, 12344

Step-4: Factors of 24698

List of positive integer factors of 24698 that divides 24688 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24688 and 24698. The biggest common factor number is the GCF number.
So the greatest common factor 24688 and 24698 is 2.

Also check out the Least Common Multiple of 24688 and 24698