What is the Greatest Common Factor of 89430 and 89445?

Greatest common factor (GCF) of 89430 and 89445 is 15.

GCF(89430,89445) = 15

We will now calculate the prime factors of 89430 and 89445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89430 and 89445.

How to find the GCF of 89430 and 89445?

We will first find the prime factorization of 89430 and 89445. After we will calculate the factors of 89430 and 89445 and find the biggest common factor number .

Step-1: Prime Factorization of 89430

Prime factors of 89430 are 2, 3, 5, 11, 271. Prime factorization of 89430 in exponential form is:

89430 = 2¹ × 3¹ × 5¹ × 11¹ × 271¹

Step-2: Prime Factorization of 89445

Prime factors of 89445 are 3, 5, 67, 89. Prime factorization of 89445 in exponential form is:

89445 = 3¹ × 5¹ × 67¹ × 89¹

Step-3: Factors of 89430

List of positive integer factors of 89430 that divides 89430 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 271, 330, 542, 813, 1355, 1626, 2710, 2981, 4065, 5962, 8130, 8943, 14905, 17886, 29810, 44715

Step-4: Factors of 89445

List of positive integer factors of 89445 that divides 89430 without a remainder.

1, 3, 5, 15, 67, 89, 201, 267, 335, 445, 1005, 1335, 5963, 17889, 29815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89430 and 89445. The biggest common factor number is the GCF number.
So the greatest common factor 89430 and 89445 is 15.

Also check out the Least Common Multiple of 89430 and 89445