What is the Greatest Common Factor of 30462 and 30477?

Greatest common factor (GCF) of 30462 and 30477 is 3.

GCF(30462,30477) = 3

We will now calculate the prime factors of 30462 and 30477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30462 and 30477.

How to find the GCF of 30462 and 30477?

We will first find the prime factorization of 30462 and 30477. After we will calculate the factors of 30462 and 30477 and find the biggest common factor number .

Step-1: Prime Factorization of 30462

Prime factors of 30462 are 2, 3, 5077. Prime factorization of 30462 in exponential form is:

30462 = 2¹ × 3¹ × 5077¹

Step-2: Prime Factorization of 30477

Prime factors of 30477 are 3, 10159. Prime factorization of 30477 in exponential form is:

30477 = 3¹ × 10159¹

Step-3: Factors of 30462

List of positive integer factors of 30462 that divides 30462 without a remainder.

1, 2, 3, 6, 5077, 10154, 15231

Step-4: Factors of 30477

List of positive integer factors of 30477 that divides 30462 without a remainder.

1, 3, 10159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30462 and 30477. The biggest common factor number is the GCF number.
So the greatest common factor 30462 and 30477 is 3.

Also check out the Least Common Multiple of 30462 and 30477