What is the Greatest Common Factor of 77265 and 77275?

Greatest common factor (GCF) of 77265 and 77275 is 5.

GCF(77265,77275) = 5

We will now calculate the prime factors of 77265 and 77275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77265 and 77275.

How to find the GCF of 77265 and 77275?

We will first find the prime factorization of 77265 and 77275. After we will calculate the factors of 77265 and 77275 and find the biggest common factor number .

Step-1: Prime Factorization of 77265

Prime factors of 77265 are 3, 5, 17, 101. Prime factorization of 77265 in exponential form is:

77265 = 3² × 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 77275

Prime factors of 77275 are 5, 11, 281. Prime factorization of 77275 in exponential form is:

77275 = 5² × 11¹ × 281¹

Step-3: Factors of 77265

List of positive integer factors of 77265 that divides 77265 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 101, 153, 255, 303, 505, 765, 909, 1515, 1717, 4545, 5151, 8585, 15453, 25755

Step-4: Factors of 77275

List of positive integer factors of 77275 that divides 77265 without a remainder.

1, 5, 11, 25, 55, 275, 281, 1405, 3091, 7025, 15455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77265 and 77275. The biggest common factor number is the GCF number.
So the greatest common factor 77265 and 77275 is 5.

Also check out the Least Common Multiple of 77265 and 77275