What is the Greatest Common Factor of 30438 and 30445?

Greatest common factor (GCF) of 30438 and 30445 is 1.

GCF(30438,30445) = 1

We will now calculate the prime factors of 30438 and 30445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30438 and 30445.

How to find the GCF of 30438 and 30445?

We will first find the prime factorization of 30438 and 30445. After we will calculate the factors of 30438 and 30445 and find the biggest common factor number .

Step-1: Prime Factorization of 30438

Prime factors of 30438 are 2, 3, 19, 89. Prime factorization of 30438 in exponential form is:

30438 = 2¹ × 3² × 19¹ × 89¹

Step-2: Prime Factorization of 30445

Prime factors of 30445 are 5, 6089. Prime factorization of 30445 in exponential form is:

30445 = 5¹ × 6089¹

Step-3: Factors of 30438

List of positive integer factors of 30438 that divides 30438 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 89, 114, 171, 178, 267, 342, 534, 801, 1602, 1691, 3382, 5073, 10146, 15219

Step-4: Factors of 30445

List of positive integer factors of 30445 that divides 30438 without a remainder.

1, 5, 6089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30438 and 30445. The biggest common factor number is the GCF number.
So the greatest common factor 30438 and 30445 is 1.

Also check out the Least Common Multiple of 30438 and 30445