What is the Greatest Common Factor of 30074 and 30080?

Greatest common factor (GCF) of 30074 and 30080 is 2.

GCF(30074,30080) = 2

We will now calculate the prime factors of 30074 and 30080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30074 and 30080.

How to find the GCF of 30074 and 30080?

We will first find the prime factorization of 30074 and 30080. After we will calculate the factors of 30074 and 30080 and find the biggest common factor number .

Step-1: Prime Factorization of 30074

Prime factors of 30074 are 2, 11, 1367. Prime factorization of 30074 in exponential form is:

30074 = 2¹ × 11¹ × 1367¹

Step-2: Prime Factorization of 30080

Prime factors of 30080 are 2, 5, 47. Prime factorization of 30080 in exponential form is:

30080 = 2⁷ × 5¹ × 47¹

Step-3: Factors of 30074

List of positive integer factors of 30074 that divides 30074 without a remainder.

1, 2, 11, 22, 1367, 2734, 15037

Step-4: Factors of 30080

List of positive integer factors of 30080 that divides 30074 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 128, 160, 188, 235, 320, 376, 470, 640, 752, 940, 1504, 1880, 3008, 3760, 6016, 7520, 15040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30074 and 30080. The biggest common factor number is the GCF number.
So the greatest common factor 30074 and 30080 is 2.

Also check out the Least Common Multiple of 30074 and 30080