What is the Greatest Common Factor of 24628 and 24642?

Greatest common factor (GCF) of 24628 and 24642 is 2.

GCF(24628,24642) = 2

We will now calculate the prime factors of 24628 and 24642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24628 and 24642.

How to find the GCF of 24628 and 24642?

We will first find the prime factorization of 24628 and 24642. After we will calculate the factors of 24628 and 24642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24642

Prime factors of 24642 are 2, 3, 37. Prime factorization of 24642 in exponential form is:

24642 = 2¹ × 3² × 37²

Step-3: Factors of 24628

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

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

Step-4: Factors of 24642

List of positive integer factors of 24642 that divides 24628 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 1369, 2738, 4107, 8214, 12321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24628 and 24642. The biggest common factor number is the GCF number.
So the greatest common factor 24628 and 24642 is 2.

Also check out the Least Common Multiple of 24628 and 24642