What is the Greatest Common Factor of 73242 and 73255?

Greatest common factor (GCF) of 73242 and 73255 is 13.

GCF(73242,73255) = 13

We will now calculate the prime factors of 73242 and 73255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73242 and 73255.

How to find the GCF of 73242 and 73255?

We will first find the prime factorization of 73242 and 73255. After we will calculate the factors of 73242 and 73255 and find the biggest common factor number .

Step-1: Prime Factorization of 73242

Prime factors of 73242 are 2, 3, 13, 313. Prime factorization of 73242 in exponential form is:

73242 = 2¹ × 3² × 13¹ × 313¹

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 73242

List of positive integer factors of 73242 that divides 73242 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 313, 626, 939, 1878, 2817, 4069, 5634, 8138, 12207, 24414, 36621

Step-4: Factors of 73255

List of positive integer factors of 73255 that divides 73242 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 73242 and 73255. The biggest common factor number is the GCF number.
So the greatest common factor 73242 and 73255 is 13.

Also check out the Least Common Multiple of 73242 and 73255