What is the Greatest Common Factor of 62430 and 62445?

Greatest common factor (GCF) of 62430 and 62445 is 15.

GCF(62430,62445) = 15

We will now calculate the prime factors of 62430 and 62445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62430 and 62445.

How to find the GCF of 62430 and 62445?

We will first find the prime factorization of 62430 and 62445. After we will calculate the factors of 62430 and 62445 and find the biggest common factor number .

Step-1: Prime Factorization of 62430

Prime factors of 62430 are 2, 3, 5, 2081. Prime factorization of 62430 in exponential form is:

62430 = 2¹ × 3¹ × 5¹ × 2081¹

Step-2: Prime Factorization of 62445

Prime factors of 62445 are 3, 5, 23, 181. Prime factorization of 62445 in exponential form is:

62445 = 3¹ × 5¹ × 23¹ × 181¹

Step-3: Factors of 62430

List of positive integer factors of 62430 that divides 62430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2081, 4162, 6243, 10405, 12486, 20810, 31215

Step-4: Factors of 62445

List of positive integer factors of 62445 that divides 62430 without a remainder.

1, 3, 5, 15, 23, 69, 115, 181, 345, 543, 905, 2715, 4163, 12489, 20815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62430 and 62445. The biggest common factor number is the GCF number.
So the greatest common factor 62430 and 62445 is 15.

Also check out the Least Common Multiple of 62430 and 62445