What is the Greatest Common Factor of 88382 and 88395?

Greatest common factor (GCF) of 88382 and 88395 is 1.

GCF(88382,88395) = 1

We will now calculate the prime factors of 88382 and 88395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88382 and 88395.

How to find the GCF of 88382 and 88395?

We will first find the prime factorization of 88382 and 88395. After we will calculate the factors of 88382 and 88395 and find the biggest common factor number .

Step-1: Prime Factorization of 88382

Prime factors of 88382 are 2, 7, 59, 107. Prime factorization of 88382 in exponential form is:

88382 = 2¹ × 7¹ × 59¹ × 107¹

Step-2: Prime Factorization of 88395

Prime factors of 88395 are 3, 5, 71, 83. Prime factorization of 88395 in exponential form is:

88395 = 3¹ × 5¹ × 71¹ × 83¹

Step-3: Factors of 88382

List of positive integer factors of 88382 that divides 88382 without a remainder.

1, 2, 7, 14, 59, 107, 118, 214, 413, 749, 826, 1498, 6313, 12626, 44191

Step-4: Factors of 88395

List of positive integer factors of 88395 that divides 88382 without a remainder.

1, 3, 5, 15, 71, 83, 213, 249, 355, 415, 1065, 1245, 5893, 17679, 29465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88382 and 88395. The biggest common factor number is the GCF number.
So the greatest common factor 88382 and 88395 is 1.

Also check out the Least Common Multiple of 88382 and 88395