What is the Greatest Common Factor of 71665 and 71675?

Greatest common factor (GCF) of 71665 and 71675 is 5.

GCF(71665,71675) = 5

We will now calculate the prime factors of 71665 and 71675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71665 and 71675.

How to find the GCF of 71665 and 71675?

We will first find the prime factorization of 71665 and 71675. After we will calculate the factors of 71665 and 71675 and find the biggest common factor number .

Step-1: Prime Factorization of 71665

Prime factors of 71665 are 5, 11, 1303. Prime factorization of 71665 in exponential form is:

71665 = 5¹ × 11¹ × 1303¹

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 71665

List of positive integer factors of 71665 that divides 71665 without a remainder.

1, 5, 11, 55, 1303, 6515, 14333

Step-4: Factors of 71675

List of positive integer factors of 71675 that divides 71665 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 71665 and 71675. The biggest common factor number is the GCF number.
So the greatest common factor 71665 and 71675 is 5.

Also check out the Least Common Multiple of 71665 and 71675