What is the Greatest Common Factor of 44084 and 44096?

Greatest common factor (GCF) of 44084 and 44096 is 4.

GCF(44084,44096) = 4

We will now calculate the prime factors of 44084 and 44096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44084 and 44096.

How to find the GCF of 44084 and 44096?

We will first find the prime factorization of 44084 and 44096. After we will calculate the factors of 44084 and 44096 and find the biggest common factor number .

Step-1: Prime Factorization of 44084

Prime factors of 44084 are 2, 103, 107. Prime factorization of 44084 in exponential form is:

44084 = 2² × 103¹ × 107¹

Step-2: Prime Factorization of 44096

Prime factors of 44096 are 2, 13, 53. Prime factorization of 44096 in exponential form is:

44096 = 2⁶ × 13¹ × 53¹

Step-3: Factors of 44084

List of positive integer factors of 44084 that divides 44084 without a remainder.

1, 2, 4, 103, 107, 206, 214, 412, 428, 11021, 22042

Step-4: Factors of 44096

List of positive integer factors of 44096 that divides 44084 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 53, 64, 104, 106, 208, 212, 416, 424, 689, 832, 848, 1378, 1696, 2756, 3392, 5512, 11024, 22048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44084 and 44096. The biggest common factor number is the GCF number.
So the greatest common factor 44084 and 44096 is 4.

Also check out the Least Common Multiple of 44084 and 44096