What is the Greatest Common Factor of 59430 and 59445?

Greatest common factor (GCF) of 59430 and 59445 is 15.

GCF(59430,59445) = 15

We will now calculate the prime factors of 59430 and 59445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59430 and 59445.

How to find the GCF of 59430 and 59445?

We will first find the prime factorization of 59430 and 59445. After we will calculate the factors of 59430 and 59445 and find the biggest common factor number .

Step-1: Prime Factorization of 59430

Prime factors of 59430 are 2, 3, 5, 7, 283. Prime factorization of 59430 in exponential form is:

59430 = 2¹ × 3¹ × 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 59445

Prime factors of 59445 are 3, 5, 1321. Prime factorization of 59445 in exponential form is:

59445 = 3² × 5¹ × 1321¹

Step-3: Factors of 59430

List of positive integer factors of 59430 that divides 59430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 283, 566, 849, 1415, 1698, 1981, 2830, 3962, 4245, 5943, 8490, 9905, 11886, 19810, 29715

Step-4: Factors of 59445

List of positive integer factors of 59445 that divides 59430 without a remainder.

1, 3, 5, 9, 15, 45, 1321, 3963, 6605, 11889, 19815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59430 and 59445. The biggest common factor number is the GCF number.
So the greatest common factor 59430 and 59445 is 15.

Also check out the Least Common Multiple of 59430 and 59445