What is the Greatest Common Factor of 71205 and 71225?

Greatest common factor (GCF) of 71205 and 71225 is 5.

GCF(71205,71225) = 5

We will now calculate the prime factors of 71205 and 71225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71205 and 71225.

How to find the GCF of 71205 and 71225?

We will first find the prime factorization of 71205 and 71225. After we will calculate the factors of 71205 and 71225 and find the biggest common factor number .

Step-1: Prime Factorization of 71205

Prime factors of 71205 are 3, 5, 47, 101. Prime factorization of 71205 in exponential form is:

71205 = 3¹ × 5¹ × 47¹ × 101¹

Step-2: Prime Factorization of 71225

Prime factors of 71225 are 5, 7, 11, 37. Prime factorization of 71225 in exponential form is:

71225 = 5² × 7¹ × 11¹ × 37¹

Step-3: Factors of 71205

List of positive integer factors of 71205 that divides 71205 without a remainder.

1, 3, 5, 15, 47, 101, 141, 235, 303, 505, 705, 1515, 4747, 14241, 23735

Step-4: Factors of 71225

List of positive integer factors of 71225 that divides 71205 without a remainder.

1, 5, 7, 11, 25, 35, 37, 55, 77, 175, 185, 259, 275, 385, 407, 925, 1295, 1925, 2035, 2849, 6475, 10175, 14245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71205 and 71225. The biggest common factor number is the GCF number.
So the greatest common factor 71205 and 71225 is 5.

Also check out the Least Common Multiple of 71205 and 71225