What is the Greatest Common Factor of 79271 and 79288?

Greatest common factor (GCF) of 79271 and 79288 is 17.

GCF(79271,79288) = 17

We will now calculate the prime factors of 79271 and 79288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79271 and 79288.

How to find the GCF of 79271 and 79288?

We will first find the prime factorization of 79271 and 79288. After we will calculate the factors of 79271 and 79288 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 79288

Prime factors of 79288 are 2, 11, 17, 53. Prime factorization of 79288 in exponential form is:

79288 = 2³ × 11¹ × 17¹ × 53¹

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 79288

List of positive integer factors of 79288 that divides 79271 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 53, 68, 88, 106, 136, 187, 212, 374, 424, 583, 748, 901, 1166, 1496, 1802, 2332, 3604, 4664, 7208, 9911, 19822, 39644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79271 and 79288. The biggest common factor number is the GCF number.
So the greatest common factor 79271 and 79288 is 17.

Also check out the Least Common Multiple of 79271 and 79288