What is the Greatest Common Factor of 44629 and 44642?

Greatest common factor (GCF) of 44629 and 44642 is 13.

GCF(44629,44642) = 13

We will now calculate the prime factors of 44629 and 44642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44629 and 44642.

How to find the GCF of 44629 and 44642?

We will first find the prime factorization of 44629 and 44642. After we will calculate the factors of 44629 and 44642 and find the biggest common factor number .

Step-1: Prime Factorization of 44629

Prime factors of 44629 are 13, 3433. Prime factorization of 44629 in exponential form is:

44629 = 13¹ × 3433¹

Step-2: Prime Factorization of 44642

Prime factors of 44642 are 2, 13, 17, 101. Prime factorization of 44642 in exponential form is:

44642 = 2¹ × 13¹ × 17¹ × 101¹

Step-3: Factors of 44629

List of positive integer factors of 44629 that divides 44629 without a remainder.

1, 13, 3433

Step-4: Factors of 44642

List of positive integer factors of 44642 that divides 44629 without a remainder.

1, 2, 13, 17, 26, 34, 101, 202, 221, 442, 1313, 1717, 2626, 3434, 22321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44629 and 44642. The biggest common factor number is the GCF number.
So the greatest common factor 44629 and 44642 is 13.

Also check out the Least Common Multiple of 44629 and 44642