What is the Greatest Common Factor of 74240 and 74259?

Greatest common factor (GCF) of 74240 and 74259 is 1.

GCF(74240,74259) = 1

We will now calculate the prime factors of 74240 and 74259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74240 and 74259.

How to find the GCF of 74240 and 74259?

We will first find the prime factorization of 74240 and 74259. After we will calculate the factors of 74240 and 74259 and find the biggest common factor number .

Step-1: Prime Factorization of 74240

Prime factors of 74240 are 2, 5, 29. Prime factorization of 74240 in exponential form is:

74240 = 2⁹ × 5¹ × 29¹

Step-2: Prime Factorization of 74259

Prime factors of 74259 are 3, 37, 223. Prime factorization of 74259 in exponential form is:

74259 = 3² × 37¹ × 223¹

Step-3: Factors of 74240

List of positive integer factors of 74240 that divides 74240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 256, 290, 320, 464, 512, 580, 640, 928, 1160, 1280, 1856, 2320, 2560, 3712, 4640, 7424, 9280, 14848, 18560, 37120

Step-4: Factors of 74259

List of positive integer factors of 74259 that divides 74240 without a remainder.

1, 3, 9, 37, 111, 223, 333, 669, 2007, 8251, 24753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74240 and 74259. The biggest common factor number is the GCF number.
So the greatest common factor 74240 and 74259 is 1.

Also check out the Least Common Multiple of 74240 and 74259