What is the Greatest Common Factor of 30056 and 30074?

Greatest common factor (GCF) of 30056 and 30074 is 2.

GCF(30056,30074) = 2

We will now calculate the prime factors of 30056 and 30074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30056 and 30074.

How to find the GCF of 30056 and 30074?

We will first find the prime factorization of 30056 and 30074. After we will calculate the factors of 30056 and 30074 and find the biggest common factor number .

Step-1: Prime Factorization of 30056

Prime factors of 30056 are 2, 13, 17. Prime factorization of 30056 in exponential form is:

30056 = 2³ × 13¹ × 17²

Step-2: 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-3: Factors of 30056

List of positive integer factors of 30056 that divides 30056 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 289, 442, 578, 884, 1156, 1768, 2312, 3757, 7514, 15028

Step-4: Factors of 30074

List of positive integer factors of 30074 that divides 30056 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30056 and 30074. The biggest common factor number is the GCF number.
So the greatest common factor 30056 and 30074 is 2.

Also check out the Least Common Multiple of 30056 and 30074