What is the Greatest Common Factor of 24608 and 24622?

Greatest common factor (GCF) of 24608 and 24622 is 2.

GCF(24608,24622) = 2

We will now calculate the prime factors of 24608 and 24622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24608 and 24622.

How to find the GCF of 24608 and 24622?

We will first find the prime factorization of 24608 and 24622. After we will calculate the factors of 24608 and 24622 and find the biggest common factor number .

Step-1: Prime Factorization of 24608

Prime factors of 24608 are 2, 769. Prime factorization of 24608 in exponential form is:

24608 = 2⁵ × 769¹

Step-2: Prime Factorization of 24622

Prime factors of 24622 are 2, 13, 947. Prime factorization of 24622 in exponential form is:

24622 = 2¹ × 13¹ × 947¹

Step-3: Factors of 24608

List of positive integer factors of 24608 that divides 24608 without a remainder.

1, 2, 4, 8, 16, 32, 769, 1538, 3076, 6152, 12304

Step-4: Factors of 24622

List of positive integer factors of 24622 that divides 24608 without a remainder.

1, 2, 13, 26, 947, 1894, 12311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24608 and 24622. The biggest common factor number is the GCF number.
So the greatest common factor 24608 and 24622 is 2.

Also check out the Least Common Multiple of 24608 and 24622