What is the Greatest Common Factor of 44395 and 44408?

Greatest common factor (GCF) of 44395 and 44408 is 13.

GCF(44395,44408) = 13

We will now calculate the prime factors of 44395 and 44408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44395 and 44408.

How to find the GCF of 44395 and 44408?

We will first find the prime factorization of 44395 and 44408. After we will calculate the factors of 44395 and 44408 and find the biggest common factor number .

Step-1: Prime Factorization of 44395

Prime factors of 44395 are 5, 13, 683. Prime factorization of 44395 in exponential form is:

44395 = 5¹ × 13¹ × 683¹

Step-2: Prime Factorization of 44408

Prime factors of 44408 are 2, 7, 13, 61. Prime factorization of 44408 in exponential form is:

44408 = 2³ × 7¹ × 13¹ × 61¹

Step-3: Factors of 44395

List of positive integer factors of 44395 that divides 44395 without a remainder.

1, 5, 13, 65, 683, 3415, 8879

Step-4: Factors of 44408

List of positive integer factors of 44408 that divides 44395 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 61, 91, 104, 122, 182, 244, 364, 427, 488, 728, 793, 854, 1586, 1708, 3172, 3416, 5551, 6344, 11102, 22204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44395 and 44408. The biggest common factor number is the GCF number.
So the greatest common factor 44395 and 44408 is 13.

Also check out the Least Common Multiple of 44395 and 44408