What is the Greatest Common Factor of 71655 and 71675?

Greatest common factor (GCF) of 71655 and 71675 is 5.

GCF(71655,71675) = 5

We will now calculate the prime factors of 71655 and 71675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71655 and 71675.

How to find the GCF of 71655 and 71675?

We will first find the prime factorization of 71655 and 71675. After we will calculate the factors of 71655 and 71675 and find the biggest common factor number .

Step-1: Prime Factorization of 71655

Prime factors of 71655 are 3, 5, 17, 281. Prime factorization of 71655 in exponential form is:

71655 = 3¹ × 5¹ × 17¹ × 281¹

Step-2: Prime Factorization of 71675

Prime factors of 71675 are 5, 47, 61. Prime factorization of 71675 in exponential form is:

71675 = 5² × 47¹ × 61¹

Step-3: Factors of 71655

List of positive integer factors of 71655 that divides 71655 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 281, 843, 1405, 4215, 4777, 14331, 23885

Step-4: Factors of 71675

List of positive integer factors of 71675 that divides 71655 without a remainder.

1, 5, 25, 47, 61, 235, 305, 1175, 1525, 2867, 14335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71655 and 71675. The biggest common factor number is the GCF number.
So the greatest common factor 71655 and 71675 is 5.

Also check out the Least Common Multiple of 71655 and 71675