What is the Greatest Common Factor of 24688 and 24692?

Greatest common factor (GCF) of 24688 and 24692 is 4.

GCF(24688,24692) = 4

We will now calculate the prime factors of 24688 and 24692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24688 and 24692.

How to find the GCF of 24688 and 24692?

We will first find the prime factorization of 24688 and 24692. After we will calculate the factors of 24688 and 24692 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 24692

Prime factors of 24692 are 2, 6173. Prime factorization of 24692 in exponential form is:

24692 = 2² × 6173¹

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 24692

List of positive integer factors of 24692 that divides 24688 without a remainder.

1, 2, 4, 6173, 12346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24688 and 24692. The biggest common factor number is the GCF number.
So the greatest common factor 24688 and 24692 is 4.

Also check out the Least Common Multiple of 24688 and 24692