What is the Greatest Common Factor of 30274 and 30288?

Greatest common factor (GCF) of 30274 and 30288 is 2.

GCF(30274,30288) = 2

We will now calculate the prime factors of 30274 and 30288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30274 and 30288.

How to find the GCF of 30274 and 30288?

We will first find the prime factorization of 30274 and 30288. After we will calculate the factors of 30274 and 30288 and find the biggest common factor number .

Step-1: Prime Factorization of 30274

Prime factors of 30274 are 2, 15137. Prime factorization of 30274 in exponential form is:

30274 = 2¹ × 15137¹

Step-2: Prime Factorization of 30288

Prime factors of 30288 are 2, 3, 631. Prime factorization of 30288 in exponential form is:

30288 = 2⁴ × 3¹ × 631¹

Step-3: Factors of 30274

List of positive integer factors of 30274 that divides 30274 without a remainder.

1, 2, 15137

Step-4: Factors of 30288

List of positive integer factors of 30288 that divides 30274 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 631, 1262, 1893, 2524, 3786, 5048, 7572, 10096, 15144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30274 and 30288. The biggest common factor number is the GCF number.
So the greatest common factor 30274 and 30288 is 2.

Also check out the Least Common Multiple of 30274 and 30288