What is the Greatest Common Factor of 73239 and 73255?

Greatest common factor (GCF) of 73239 and 73255 is 1.

GCF(73239,73255) = 1

We will now calculate the prime factors of 73239 and 73255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73239 and 73255.

How to find the GCF of 73239 and 73255?

We will first find the prime factorization of 73239 and 73255. After we will calculate the factors of 73239 and 73255 and find the biggest common factor number .

Step-1: Prime Factorization of 73239

Prime factors of 73239 are 3, 24413. Prime factorization of 73239 in exponential form is:

73239 = 3¹ × 24413¹

Step-2: Prime Factorization of 73255

Prime factors of 73255 are 5, 7, 13, 23. Prime factorization of 73255 in exponential form is:

73255 = 5¹ × 7² × 13¹ × 23¹

Step-3: Factors of 73239

List of positive integer factors of 73239 that divides 73239 without a remainder.

1, 3, 24413

Step-4: Factors of 73255

List of positive integer factors of 73255 that divides 73239 without a remainder.

1, 5, 7, 13, 23, 35, 49, 65, 91, 115, 161, 245, 299, 455, 637, 805, 1127, 1495, 2093, 3185, 5635, 10465, 14651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73239 and 73255. The biggest common factor number is the GCF number.
So the greatest common factor 73239 and 73255 is 1.

Also check out the Least Common Multiple of 73239 and 73255