What is the Greatest Common Factor of 44080 and 44090?

Greatest common factor (GCF) of 44080 and 44090 is 10.

GCF(44080,44090) = 10

We will now calculate the prime factors of 44080 and 44090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44080 and 44090.

How to find the GCF of 44080 and 44090?

We will first find the prime factorization of 44080 and 44090. After we will calculate the factors of 44080 and 44090 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 44090

Prime factors of 44090 are 2, 5, 4409. Prime factorization of 44090 in exponential form is:

44090 = 2¹ × 5¹ × 4409¹

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 44090

List of positive integer factors of 44090 that divides 44080 without a remainder.

1, 2, 5, 10, 4409, 8818, 22045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44080 and 44090. The biggest common factor number is the GCF number.
So the greatest common factor 44080 and 44090 is 10.

Also check out the Least Common Multiple of 44080 and 44090