What is the Greatest Common Factor of 24608 and 24614?

Greatest common factor (GCF) of 24608 and 24614 is 2.

GCF(24608,24614) = 2

We will now calculate the prime factors of 24608 and 24614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24608 and 24614.

How to find the GCF of 24608 and 24614?

We will first find the prime factorization of 24608 and 24614. After we will calculate the factors of 24608 and 24614 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 24614

Prime factors of 24614 are 2, 31, 397. Prime factorization of 24614 in exponential form is:

24614 = 2¹ × 31¹ × 397¹

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 24614

List of positive integer factors of 24614 that divides 24608 without a remainder.

1, 2, 31, 62, 397, 794, 12307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24608 and 24614. The biggest common factor number is the GCF number.
So the greatest common factor 24608 and 24614 is 2.

Also check out the Least Common Multiple of 24608 and 24614