What is the Greatest Common Factor of 44634 and 44642?

Greatest common factor (GCF) of 44634 and 44642 is 2.

GCF(44634,44642) = 2

We will now calculate the prime factors of 44634 and 44642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44634 and 44642.

How to find the GCF of 44634 and 44642?

We will first find the prime factorization of 44634 and 44642. After we will calculate the factors of 44634 and 44642 and find the biggest common factor number .

Step-1: Prime Factorization of 44634

Prime factors of 44634 are 2, 3, 43, 173. Prime factorization of 44634 in exponential form is:

44634 = 2¹ × 3¹ × 43¹ × 173¹

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 44634

List of positive integer factors of 44634 that divides 44634 without a remainder.

1, 2, 3, 6, 43, 86, 129, 173, 258, 346, 519, 1038, 7439, 14878, 22317

Step-4: Factors of 44642

List of positive integer factors of 44642 that divides 44634 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 44634 and 44642. The biggest common factor number is the GCF number.
So the greatest common factor 44634 and 44642 is 2.

Also check out the Least Common Multiple of 44634 and 44642