What is the Greatest Common Factor of 90895 and 90915?

Greatest common factor (GCF) of 90895 and 90915 is 5.

GCF(90895,90915) = 5

We will now calculate the prime factors of 90895 and 90915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90895 and 90915.

How to find the GCF of 90895 and 90915?

We will first find the prime factorization of 90895 and 90915. After we will calculate the factors of 90895 and 90915 and find the biggest common factor number .

Step-1: Prime Factorization of 90895

Prime factors of 90895 are 5, 7, 53. Prime factorization of 90895 in exponential form is:

90895 = 5¹ × 7³ × 53¹

Step-2: Prime Factorization of 90915

Prime factors of 90915 are 3, 5, 11, 19, 29. Prime factorization of 90915 in exponential form is:

90915 = 3¹ × 5¹ × 11¹ × 19¹ × 29¹

Step-3: Factors of 90895

List of positive integer factors of 90895 that divides 90895 without a remainder.

1, 5, 7, 35, 49, 53, 245, 265, 343, 371, 1715, 1855, 2597, 12985, 18179

Step-4: Factors of 90915

List of positive integer factors of 90915 that divides 90895 without a remainder.

1, 3, 5, 11, 15, 19, 29, 33, 55, 57, 87, 95, 145, 165, 209, 285, 319, 435, 551, 627, 957, 1045, 1595, 1653, 2755, 3135, 4785, 6061, 8265, 18183, 30305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90895 and 90915. The biggest common factor number is the GCF number.
So the greatest common factor 90895 and 90915 is 5.

Also check out the Least Common Multiple of 90895 and 90915