What is the Greatest Common Factor of 88995 and 89015?

Greatest common factor (GCF) of 88995 and 89015 is 5.

GCF(88995,89015) = 5

We will now calculate the prime factors of 88995 and 89015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88995 and 89015.

How to find the GCF of 88995 and 89015?

We will first find the prime factorization of 88995 and 89015. After we will calculate the factors of 88995 and 89015 and find the biggest common factor number .

Step-1: Prime Factorization of 88995

Prime factors of 88995 are 3, 5, 17, 349. Prime factorization of 88995 in exponential form is:

88995 = 3¹ × 5¹ × 17¹ × 349¹

Step-2: Prime Factorization of 89015

Prime factors of 89015 are 5, 19, 937. Prime factorization of 89015 in exponential form is:

89015 = 5¹ × 19¹ × 937¹

Step-3: Factors of 88995

List of positive integer factors of 88995 that divides 88995 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 349, 1047, 1745, 5235, 5933, 17799, 29665

Step-4: Factors of 89015

List of positive integer factors of 89015 that divides 88995 without a remainder.

1, 5, 19, 95, 937, 4685, 17803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88995 and 89015. The biggest common factor number is the GCF number.
So the greatest common factor 88995 and 89015 is 5.

Also check out the Least Common Multiple of 88995 and 89015