What is the Greatest Common Factor of 79288 and 79305?

Greatest common factor (GCF) of 79288 and 79305 is 17.

GCF(79288,79305) = 17

We will now calculate the prime factors of 79288 and 79305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79288 and 79305.

How to find the GCF of 79288 and 79305?

We will first find the prime factorization of 79288 and 79305. After we will calculate the factors of 79288 and 79305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79305

Prime factors of 79305 are 3, 5, 17, 311. Prime factorization of 79305 in exponential form is:

79305 = 3¹ × 5¹ × 17¹ × 311¹

Step-3: Factors of 79288

List of positive integer factors of 79288 that divides 79288 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

Step-4: Factors of 79305

List of positive integer factors of 79305 that divides 79288 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 311, 933, 1555, 4665, 5287, 15861, 26435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79288 and 79305. The biggest common factor number is the GCF number.
So the greatest common factor 79288 and 79305 is 17.

Also check out the Least Common Multiple of 79288 and 79305