What is the Greatest Common Factor of 71219 and 71225?

Greatest common factor (GCF) of 71219 and 71225 is 1.

GCF(71219,71225) = 1

We will now calculate the prime factors of 71219 and 71225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71219 and 71225.

How to find the GCF of 71219 and 71225?

We will first find the prime factorization of 71219 and 71225. After we will calculate the factors of 71219 and 71225 and find the biggest common factor number .

Step-1: Prime Factorization of 71219

Prime factors of 71219 are 229, 311. Prime factorization of 71219 in exponential form is:

71219 = 229¹ × 311¹

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 71219

List of positive integer factors of 71219 that divides 71219 without a remainder.

1, 229, 311

Step-4: Factors of 71225

List of positive integer factors of 71225 that divides 71219 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 71219 and 71225. The biggest common factor number is the GCF number.
So the greatest common factor 71219 and 71225 is 1.

Also check out the Least Common Multiple of 71219 and 71225