What is the Greatest Common Factor of 89530 and 89535?

Greatest common factor (GCF) of 89530 and 89535 is 5.

GCF(89530,89535) = 5

We will now calculate the prime factors of 89530 and 89535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89530 and 89535.

How to find the GCF of 89530 and 89535?

We will first find the prime factorization of 89530 and 89535. After we will calculate the factors of 89530 and 89535 and find the biggest common factor number .

Step-1: Prime Factorization of 89530

Prime factors of 89530 are 2, 5, 7, 1279. Prime factorization of 89530 in exponential form is:

89530 = 2¹ × 5¹ × 7¹ × 1279¹

Step-2: Prime Factorization of 89535

Prime factors of 89535 are 3, 5, 47, 127. Prime factorization of 89535 in exponential form is:

89535 = 3¹ × 5¹ × 47¹ × 127¹

Step-3: Factors of 89530

List of positive integer factors of 89530 that divides 89530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1279, 2558, 6395, 8953, 12790, 17906, 44765

Step-4: Factors of 89535

List of positive integer factors of 89535 that divides 89530 without a remainder.

1, 3, 5, 15, 47, 127, 141, 235, 381, 635, 705, 1905, 5969, 17907, 29845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89530 and 89535. The biggest common factor number is the GCF number.
So the greatest common factor 89530 and 89535 is 5.

Also check out the Least Common Multiple of 89530 and 89535