What is the Greatest Common Factor of 44404 and 44408?

Greatest common factor (GCF) of 44404 and 44408 is 4.

GCF(44404,44408) = 4

We will now calculate the prime factors of 44404 and 44408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44404 and 44408.

How to find the GCF of 44404 and 44408?

We will first find the prime factorization of 44404 and 44408. After we will calculate the factors of 44404 and 44408 and find the biggest common factor number .

Step-1: Prime Factorization of 44404

Prime factors of 44404 are 2, 17, 653. Prime factorization of 44404 in exponential form is:

44404 = 2² × 17¹ × 653¹

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 44404

List of positive integer factors of 44404 that divides 44404 without a remainder.

1, 2, 4, 17, 34, 68, 653, 1306, 2612, 11101, 22202

Step-4: Factors of 44408

List of positive integer factors of 44408 that divides 44404 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 44404 and 44408. The biggest common factor number is the GCF number.
So the greatest common factor 44404 and 44408 is 4.

Also check out the Least Common Multiple of 44404 and 44408