What is the Greatest Common Factor of 73255 and 73265?

Greatest common factor (GCF) of 73255 and 73265 is 5.

GCF(73255,73265) = 5

We will now calculate the prime factors of 73255 and 73265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73255 and 73265.

How to find the GCF of 73255 and 73265?

We will first find the prime factorization of 73255 and 73265. After we will calculate the factors of 73255 and 73265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73265

Prime factors of 73265 are 5, 14653. Prime factorization of 73265 in exponential form is:

73265 = 5¹ × 14653¹

Step-3: Factors of 73255

List of positive integer factors of 73255 that divides 73255 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

Step-4: Factors of 73265

List of positive integer factors of 73265 that divides 73255 without a remainder.

1, 5, 14653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73255 and 73265. The biggest common factor number is the GCF number.
So the greatest common factor 73255 and 73265 is 5.

Also check out the Least Common Multiple of 73255 and 73265