What is the Greatest Common Factor of 30240 and 30259?

Greatest common factor (GCF) of 30240 and 30259 is 1.

GCF(30240,30259) = 1

We will now calculate the prime factors of 30240 and 30259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30240 and 30259.

How to find the GCF of 30240 and 30259?

We will first find the prime factorization of 30240 and 30259. After we will calculate the factors of 30240 and 30259 and find the biggest common factor number .

Step-1: Prime Factorization of 30240

Prime factors of 30240 are 2, 3, 5, 7. Prime factorization of 30240 in exponential form is:

30240 = 2⁵ × 3³ × 5¹ × 7¹

Step-2: Prime Factorization of 30259

Prime factors of 30259 are 30259. Prime factorization of 30259 in exponential form is:

30259 = 30259¹

Step-3: Factors of 30240

List of positive integer factors of 30240 that divides 30240 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 108, 112, 120, 126, 135, 140, 144, 160, 168, 180, 189, 210, 216, 224, 240, 252, 270, 280, 288, 315, 336, 360, 378, 420, 432, 480, 504, 540, 560, 630, 672, 720, 756, 840, 864, 945, 1008, 1080, 1120, 1260, 1440, 1512, 1680, 1890, 2016, 2160, 2520, 3024, 3360, 3780, 4320, 5040, 6048, 7560, 10080, 15120

Step-4: Factors of 30259

List of positive integer factors of 30259 that divides 30240 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30240 and 30259. The biggest common factor number is the GCF number.
So the greatest common factor 30240 and 30259 is 1.

Also check out the Least Common Multiple of 30240 and 30259