What is the Greatest Common Factor of 88635 and 88645?

Greatest common factor (GCF) of 88635 and 88645 is 5.

GCF(88635,88645) = 5

We will now calculate the prime factors of 88635 and 88645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88635 and 88645.

How to find the GCF of 88635 and 88645?

We will first find the prime factorization of 88635 and 88645. After we will calculate the factors of 88635 and 88645 and find the biggest common factor number .

Step-1: Prime Factorization of 88635

Prime factors of 88635 are 3, 5, 19, 311. Prime factorization of 88635 in exponential form is:

88635 = 3¹ × 5¹ × 19¹ × 311¹

Step-2: Prime Factorization of 88645

Prime factors of 88645 are 5, 17729. Prime factorization of 88645 in exponential form is:

88645 = 5¹ × 17729¹

Step-3: Factors of 88635

List of positive integer factors of 88635 that divides 88635 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 311, 933, 1555, 4665, 5909, 17727, 29545

Step-4: Factors of 88645

List of positive integer factors of 88645 that divides 88635 without a remainder.

1, 5, 17729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88635 and 88645. The biggest common factor number is the GCF number.
So the greatest common factor 88635 and 88645 is 5.

Also check out the Least Common Multiple of 88635 and 88645