What is the Greatest Common Factor of 44408 and 44415?

Greatest common factor (GCF) of 44408 and 44415 is 7.

GCF(44408,44415) = 7

We will now calculate the prime factors of 44408 and 44415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44408 and 44415.

How to find the GCF of 44408 and 44415?

We will first find the prime factorization of 44408 and 44415. After we will calculate the factors of 44408 and 44415 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44415

Prime factors of 44415 are 3, 5, 7, 47. Prime factorization of 44415 in exponential form is:

44415 = 3³ × 5¹ × 7¹ × 47¹

Step-3: Factors of 44408

List of positive integer factors of 44408 that divides 44408 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

Step-4: Factors of 44415

List of positive integer factors of 44415 that divides 44408 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 47, 63, 105, 135, 141, 189, 235, 315, 329, 423, 705, 945, 987, 1269, 1645, 2115, 2961, 4935, 6345, 8883, 14805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44408 and 44415. The biggest common factor number is the GCF number.
So the greatest common factor 44408 and 44415 is 7.

Also check out the Least Common Multiple of 44408 and 44415