What is the Greatest Common Factor of 71638 and 71655?

Greatest common factor (GCF) of 71638 and 71655 is 17.

GCF(71638,71655) = 17

We will now calculate the prime factors of 71638 and 71655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71638 and 71655.

How to find the GCF of 71638 and 71655?

We will first find the prime factorization of 71638 and 71655. After we will calculate the factors of 71638 and 71655 and find the biggest common factor number .

Step-1: Prime Factorization of 71638

Prime factors of 71638 are 2, 7, 17, 43. Prime factorization of 71638 in exponential form is:

71638 = 2¹ × 7² × 17¹ × 43¹

Step-2: 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-3: Factors of 71638

List of positive integer factors of 71638 that divides 71638 without a remainder.

1, 2, 7, 14, 17, 34, 43, 49, 86, 98, 119, 238, 301, 602, 731, 833, 1462, 1666, 2107, 4214, 5117, 10234, 35819

Step-4: Factors of 71655

List of positive integer factors of 71655 that divides 71638 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71638 and 71655. The biggest common factor number is the GCF number.
So the greatest common factor 71638 and 71655 is 17.

Also check out the Least Common Multiple of 71638 and 71655