What is the Greatest Common Factor of 44415 and 44422?

Greatest common factor (GCF) of 44415 and 44422 is 7.

GCF(44415,44422) = 7

We will now calculate the prime factors of 44415 and 44422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44415 and 44422.

How to find the GCF of 44415 and 44422?

We will first find the prime factorization of 44415 and 44422. After we will calculate the factors of 44415 and 44422 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44422

Prime factors of 44422 are 2, 7, 19, 167. Prime factorization of 44422 in exponential form is:

44422 = 2¹ × 7¹ × 19¹ × 167¹

Step-3: Factors of 44415

List of positive integer factors of 44415 that divides 44415 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

Step-4: Factors of 44422

List of positive integer factors of 44422 that divides 44415 without a remainder.

1, 2, 7, 14, 19, 38, 133, 167, 266, 334, 1169, 2338, 3173, 6346, 22211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44415 and 44422. The biggest common factor number is the GCF number.
So the greatest common factor 44415 and 44422 is 7.

Also check out the Least Common Multiple of 44415 and 44422