What is the Greatest Common Factor of 72275 and 72289?

Greatest common factor (GCF) of 72275 and 72289 is 7.

GCF(72275,72289) = 7

We will now calculate the prime factors of 72275 and 72289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72275 and 72289.

How to find the GCF of 72275 and 72289?

We will first find the prime factorization of 72275 and 72289. After we will calculate the factors of 72275 and 72289 and find the biggest common factor number .

Step-1: Prime Factorization of 72275

Prime factors of 72275 are 5, 7, 59. Prime factorization of 72275 in exponential form is:

72275 = 5² × 7² × 59¹

Step-2: Prime Factorization of 72289

Prime factors of 72289 are 7, 23, 449. Prime factorization of 72289 in exponential form is:

72289 = 7¹ × 23¹ × 449¹

Step-3: Factors of 72275

List of positive integer factors of 72275 that divides 72275 without a remainder.

1, 5, 7, 25, 35, 49, 59, 175, 245, 295, 413, 1225, 1475, 2065, 2891, 10325, 14455

Step-4: Factors of 72289

List of positive integer factors of 72289 that divides 72275 without a remainder.

1, 7, 23, 161, 449, 3143, 10327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72275 and 72289. The biggest common factor number is the GCF number.
So the greatest common factor 72275 and 72289 is 7.

Also check out the Least Common Multiple of 72275 and 72289