What is the Greatest Common Factor of 44128 and 44144?

Greatest common factor (GCF) of 44128 and 44144 is 16.

GCF(44128,44144) = 16

We will now calculate the prime factors of 44128 and 44144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44128 and 44144.

How to find the GCF of 44128 and 44144?

We will first find the prime factorization of 44128 and 44144. After we will calculate the factors of 44128 and 44144 and find the biggest common factor number .

Step-1: Prime Factorization of 44128

Prime factors of 44128 are 2, 7, 197. Prime factorization of 44128 in exponential form is:

44128 = 2⁵ × 7¹ × 197¹

Step-2: Prime Factorization of 44144

Prime factors of 44144 are 2, 31, 89. Prime factorization of 44144 in exponential form is:

44144 = 2⁴ × 31¹ × 89¹

Step-3: Factors of 44128

List of positive integer factors of 44128 that divides 44128 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 197, 224, 394, 788, 1379, 1576, 2758, 3152, 5516, 6304, 11032, 22064

Step-4: Factors of 44144

List of positive integer factors of 44144 that divides 44128 without a remainder.

1, 2, 4, 8, 16, 31, 62, 89, 124, 178, 248, 356, 496, 712, 1424, 2759, 5518, 11036, 22072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44128 and 44144. The biggest common factor number is the GCF number.
So the greatest common factor 44128 and 44144 is 16.

Also check out the Least Common Multiple of 44128 and 44144