What is the Greatest Common Factor of 24626 and 24632?

Greatest common factor (GCF) of 24626 and 24632 is 2.

GCF(24626,24632) = 2

We will now calculate the prime factors of 24626 and 24632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24626 and 24632.

How to find the GCF of 24626 and 24632?

We will first find the prime factorization of 24626 and 24632. After we will calculate the factors of 24626 and 24632 and find the biggest common factor number .

Step-1: Prime Factorization of 24626

Prime factors of 24626 are 2, 7, 1759. Prime factorization of 24626 in exponential form is:

24626 = 2¹ × 7¹ × 1759¹

Step-2: Prime Factorization of 24632

Prime factors of 24632 are 2, 3079. Prime factorization of 24632 in exponential form is:

24632 = 2³ × 3079¹

Step-3: Factors of 24626

List of positive integer factors of 24626 that divides 24626 without a remainder.

1, 2, 7, 14, 1759, 3518, 12313

Step-4: Factors of 24632

List of positive integer factors of 24632 that divides 24626 without a remainder.

1, 2, 4, 8, 3079, 6158, 12316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24626 and 24632. The biggest common factor number is the GCF number.
So the greatest common factor 24626 and 24632 is 2.

Also check out the Least Common Multiple of 24626 and 24632