What is the Greatest Common Factor of 44140 and 44144?

Greatest common factor (GCF) of 44140 and 44144 is 4.

GCF(44140,44144) = 4

We will now calculate the prime factors of 44140 and 44144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44140 and 44144.

How to find the GCF of 44140 and 44144?

We will first find the prime factorization of 44140 and 44144. After we will calculate the factors of 44140 and 44144 and find the biggest common factor number .

Step-1: Prime Factorization of 44140

Prime factors of 44140 are 2, 5, 2207. Prime factorization of 44140 in exponential form is:

44140 = 2² × 5¹ × 2207¹

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 44140

List of positive integer factors of 44140 that divides 44140 without a remainder.

1, 2, 4, 5, 10, 20, 2207, 4414, 8828, 11035, 22070

Step-4: Factors of 44144

List of positive integer factors of 44144 that divides 44140 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 44140 and 44144. The biggest common factor number is the GCF number.
So the greatest common factor 44140 and 44144 is 4.

Also check out the Least Common Multiple of 44140 and 44144