What is the Greatest Common Factor of 44080 and 44084?

Greatest common factor (GCF) of 44080 and 44084 is 4.

GCF(44080,44084) = 4

We will now calculate the prime factors of 44080 and 44084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44080 and 44084.

How to find the GCF of 44080 and 44084?

We will first find the prime factorization of 44080 and 44084. After we will calculate the factors of 44080 and 44084 and find the biggest common factor number .

Step-1: Prime Factorization of 44080

Prime factors of 44080 are 2, 5, 19, 29. Prime factorization of 44080 in exponential form is:

44080 = 2⁴ × 5¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 44080

List of positive integer factors of 44080 that divides 44080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 29, 38, 40, 58, 76, 80, 95, 116, 145, 152, 190, 232, 290, 304, 380, 464, 551, 580, 760, 1102, 1160, 1520, 2204, 2320, 2755, 4408, 5510, 8816, 11020, 22040

Step-4: Factors of 44084

List of positive integer factors of 44084 that divides 44080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44080 and 44084. The biggest common factor number is the GCF number.
So the greatest common factor 44080 and 44084 is 4.

Also check out the Least Common Multiple of 44080 and 44084