What is the Greatest Common Factor of 71225 and 71243?

Greatest common factor (GCF) of 71225 and 71243 is 1.

GCF(71225,71243) = 1

We will now calculate the prime factors of 71225 and 71243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71225 and 71243.

How to find the GCF of 71225 and 71243?

We will first find the prime factorization of 71225 and 71243. After we will calculate the factors of 71225 and 71243 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71243

Prime factors of 71243 are 191, 373. Prime factorization of 71243 in exponential form is:

71243 = 191¹ × 373¹

Step-3: Factors of 71225

List of positive integer factors of 71225 that divides 71225 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

Step-4: Factors of 71243

List of positive integer factors of 71243 that divides 71225 without a remainder.

1, 191, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71225 and 71243. The biggest common factor number is the GCF number.
So the greatest common factor 71225 and 71243 is 1.

Also check out the Least Common Multiple of 71225 and 71243