What is the Greatest Common Factor of 88305 and 88319?

Greatest common factor (GCF) of 88305 and 88319 is 7.

GCF(88305,88319) = 7

We will now calculate the prime factors of 88305 and 88319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88305 and 88319.

How to find the GCF of 88305 and 88319?

We will first find the prime factorization of 88305 and 88319. After we will calculate the factors of 88305 and 88319 and find the biggest common factor number .

Step-1: Prime Factorization of 88305

Prime factors of 88305 are 3, 5, 7, 29. Prime factorization of 88305 in exponential form is:

88305 = 3¹ × 5¹ × 7¹ × 29²

Step-2: Prime Factorization of 88319

Prime factors of 88319 are 7, 11, 31, 37. Prime factorization of 88319 in exponential form is:

88319 = 7¹ × 11¹ × 31¹ × 37¹

Step-3: Factors of 88305

List of positive integer factors of 88305 that divides 88305 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 841, 1015, 2523, 3045, 4205, 5887, 12615, 17661, 29435

Step-4: Factors of 88319

List of positive integer factors of 88319 that divides 88305 without a remainder.

1, 7, 11, 31, 37, 77, 217, 259, 341, 407, 1147, 2387, 2849, 8029, 12617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88305 and 88319. The biggest common factor number is the GCF number.
So the greatest common factor 88305 and 88319 is 7.

Also check out the Least Common Multiple of 88305 and 88319