What is the Greatest Common Factor of 30144 and 30151?

Greatest common factor (GCF) of 30144 and 30151 is 1.

GCF(30144,30151) = 1

We will now calculate the prime factors of 30144 and 30151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30144 and 30151.

How to find the GCF of 30144 and 30151?

We will first find the prime factorization of 30144 and 30151. After we will calculate the factors of 30144 and 30151 and find the biggest common factor number .

Step-1: Prime Factorization of 30144

Prime factors of 30144 are 2, 3, 157. Prime factorization of 30144 in exponential form is:

30144 = 2⁶ × 3¹ × 157¹

Step-2: Prime Factorization of 30151

Prime factors of 30151 are 11, 2741. Prime factorization of 30151 in exponential form is:

30151 = 11¹ × 2741¹

Step-3: Factors of 30144

List of positive integer factors of 30144 that divides 30144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 157, 192, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 5024, 7536, 10048, 15072

Step-4: Factors of 30151

List of positive integer factors of 30151 that divides 30144 without a remainder.

1, 11, 2741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30144 and 30151. The biggest common factor number is the GCF number.
So the greatest common factor 30144 and 30151 is 1.

Also check out the Least Common Multiple of 30144 and 30151