What is the Greatest Common Factor of 30435 and 30455?

Greatest common factor (GCF) of 30435 and 30455 is 5.

GCF(30435,30455) = 5

We will now calculate the prime factors of 30435 and 30455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30435 and 30455.

How to find the GCF of 30435 and 30455?

We will first find the prime factorization of 30435 and 30455. After we will calculate the factors of 30435 and 30455 and find the biggest common factor number .

Step-1: Prime Factorization of 30435

Prime factors of 30435 are 3, 5, 2029. Prime factorization of 30435 in exponential form is:

30435 = 3¹ × 5¹ × 2029¹

Step-2: Prime Factorization of 30455

Prime factors of 30455 are 5, 6091. Prime factorization of 30455 in exponential form is:

30455 = 5¹ × 6091¹

Step-3: Factors of 30435

List of positive integer factors of 30435 that divides 30435 without a remainder.

1, 3, 5, 15, 2029, 6087, 10145

Step-4: Factors of 30455

List of positive integer factors of 30455 that divides 30435 without a remainder.

1, 5, 6091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30435 and 30455. The biggest common factor number is the GCF number.
So the greatest common factor 30435 and 30455 is 5.

Also check out the Least Common Multiple of 30435 and 30455