What is the Greatest Common Factor of 71660 and 71665?

Greatest common factor (GCF) of 71660 and 71665 is 5.

GCF(71660,71665) = 5

We will now calculate the prime factors of 71660 and 71665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71660 and 71665.

How to find the GCF of 71660 and 71665?

We will first find the prime factorization of 71660 and 71665. After we will calculate the factors of 71660 and 71665 and find the biggest common factor number .

Step-1: Prime Factorization of 71660

Prime factors of 71660 are 2, 5, 3583. Prime factorization of 71660 in exponential form is:

71660 = 2² × 5¹ × 3583¹

Step-2: 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-3: Factors of 71660

List of positive integer factors of 71660 that divides 71660 without a remainder.

1, 2, 4, 5, 10, 20, 3583, 7166, 14332, 17915, 35830

Step-4: Factors of 71665

List of positive integer factors of 71665 that divides 71660 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71660 and 71665. The biggest common factor number is the GCF number.
So the greatest common factor 71660 and 71665 is 5.

Also check out the Least Common Multiple of 71660 and 71665