What is the Greatest Common Factor of 88635 and 88650?

Greatest common factor (GCF) of 88635 and 88650 is 15.

GCF(88635,88650) = 15

We will now calculate the prime factors of 88635 and 88650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88635 and 88650.

How to find the GCF of 88635 and 88650?

We will first find the prime factorization of 88635 and 88650. After we will calculate the factors of 88635 and 88650 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 88650

Prime factors of 88650 are 2, 3, 5, 197. Prime factorization of 88650 in exponential form is:

88650 = 2¹ × 3² × 5² × 197¹

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 88650

List of positive integer factors of 88650 that divides 88635 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 197, 225, 394, 450, 591, 985, 1182, 1773, 1970, 2955, 3546, 4925, 5910, 8865, 9850, 14775, 17730, 29550, 44325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88635 and 88650. The biggest common factor number is the GCF number.
So the greatest common factor 88635 and 88650 is 15.

Also check out the Least Common Multiple of 88635 and 88650