What is the Greatest Common Factor of 44074 and 44080?

Greatest common factor (GCF) of 44074 and 44080 is 2.

GCF(44074,44080) = 2

We will now calculate the prime factors of 44074 and 44080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44074 and 44080.

How to find the GCF of 44074 and 44080?

We will first find the prime factorization of 44074 and 44080. After we will calculate the factors of 44074 and 44080 and find the biggest common factor number .

Step-1: Prime Factorization of 44074

Prime factors of 44074 are 2, 22037. Prime factorization of 44074 in exponential form is:

44074 = 2¹ × 22037¹

Step-2: 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-3: Factors of 44074

List of positive integer factors of 44074 that divides 44074 without a remainder.

1, 2, 22037

Step-4: Factors of 44080

List of positive integer factors of 44080 that divides 44074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44074 and 44080. The biggest common factor number is the GCF number.
So the greatest common factor 44074 and 44080 is 2.

Also check out the Least Common Multiple of 44074 and 44080