What is the Greatest Common Factor of 44642 and 44655?

Greatest common factor (GCF) of 44642 and 44655 is 13.

GCF(44642,44655) = 13

We will now calculate the prime factors of 44642 and 44655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44642 and 44655.

How to find the GCF of 44642 and 44655?

We will first find the prime factorization of 44642 and 44655. After we will calculate the factors of 44642 and 44655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44655

Prime factors of 44655 are 3, 5, 13, 229. Prime factorization of 44655 in exponential form is:

44655 = 3¹ × 5¹ × 13¹ × 229¹

Step-3: Factors of 44642

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

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

Step-4: Factors of 44655

List of positive integer factors of 44655 that divides 44642 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 229, 687, 1145, 2977, 3435, 8931, 14885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44642 and 44655. The biggest common factor number is the GCF number.
So the greatest common factor 44642 and 44655 is 13.

Also check out the Least Common Multiple of 44642 and 44655