What is the Greatest Common Factor of 79271 and 79289?

Greatest common factor (GCF) of 79271 and 79289 is 1.

GCF(79271,79289) = 1

We will now calculate the prime factors of 79271 and 79289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79271 and 79289.

How to find the GCF of 79271 and 79289?

We will first find the prime factorization of 79271 and 79289. After we will calculate the factors of 79271 and 79289 and find the biggest common factor number .

Step-1: Prime Factorization of 79271

Prime factors of 79271 are 17, 4663. Prime factorization of 79271 in exponential form is:

79271 = 17¹ × 4663¹

Step-2: Prime Factorization of 79289

Prime factors of 79289 are 7, 47, 241. Prime factorization of 79289 in exponential form is:

79289 = 7¹ × 47¹ × 241¹

Step-3: Factors of 79271

List of positive integer factors of 79271 that divides 79271 without a remainder.

1, 17, 4663

Step-4: Factors of 79289

List of positive integer factors of 79289 that divides 79271 without a remainder.

1, 7, 47, 241, 329, 1687, 11327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79271 and 79289. The biggest common factor number is the GCF number.
So the greatest common factor 79271 and 79289 is 1.

Also check out the Least Common Multiple of 79271 and 79289