What is the Greatest Common Factor of 62430 and 62439?

Greatest common factor (GCF) of 62430 and 62439 is 3.

GCF(62430,62439) = 3

We will now calculate the prime factors of 62430 and 62439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62430 and 62439.

How to find the GCF of 62430 and 62439?

We will first find the prime factorization of 62430 and 62439. After we will calculate the factors of 62430 and 62439 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 62439

Prime factors of 62439 are 3, 13, 1601. Prime factorization of 62439 in exponential form is:

62439 = 3¹ × 13¹ × 1601¹

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 62439

List of positive integer factors of 62439 that divides 62430 without a remainder.

1, 3, 13, 39, 1601, 4803, 20813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62430 and 62439. The biggest common factor number is the GCF number.
So the greatest common factor 62430 and 62439 is 3.

Also check out the Least Common Multiple of 62430 and 62439