What is the Greatest Common Factor of 24616 and 24628?

Greatest common factor (GCF) of 24616 and 24628 is 4.

GCF(24616,24628) = 4

We will now calculate the prime factors of 24616 and 24628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24616 and 24628.

How to find the GCF of 24616 and 24628?

We will first find the prime factorization of 24616 and 24628. After we will calculate the factors of 24616 and 24628 and find the biggest common factor number .

Step-1: Prime Factorization of 24616

Prime factors of 24616 are 2, 17, 181. Prime factorization of 24616 in exponential form is:

24616 = 2³ × 17¹ × 181¹

Step-2: Prime Factorization of 24628

Prime factors of 24628 are 2, 47, 131. Prime factorization of 24628 in exponential form is:

24628 = 2² × 47¹ × 131¹

Step-3: Factors of 24616

List of positive integer factors of 24616 that divides 24616 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 181, 362, 724, 1448, 3077, 6154, 12308

Step-4: Factors of 24628

List of positive integer factors of 24628 that divides 24616 without a remainder.

1, 2, 4, 47, 94, 131, 188, 262, 524, 6157, 12314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24616 and 24628. The biggest common factor number is the GCF number.
So the greatest common factor 24616 and 24628 is 4.

Also check out the Least Common Multiple of 24616 and 24628