What is the Greatest Common Factor of 30603 and 30608?

Greatest common factor (GCF) of 30603 and 30608 is 1.

GCF(30603,30608) = 1

We will now calculate the prime factors of 30603 and 30608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30603 and 30608.

How to find the GCF of 30603 and 30608?

We will first find the prime factorization of 30603 and 30608. After we will calculate the factors of 30603 and 30608 and find the biggest common factor number .

Step-1: Prime Factorization of 30603

Prime factors of 30603 are 3, 101. Prime factorization of 30603 in exponential form is:

30603 = 3¹ × 101²

Step-2: Prime Factorization of 30608

Prime factors of 30608 are 2, 1913. Prime factorization of 30608 in exponential form is:

30608 = 2⁴ × 1913¹

Step-3: Factors of 30603

List of positive integer factors of 30603 that divides 30603 without a remainder.

1, 3, 101, 303, 10201

Step-4: Factors of 30608

List of positive integer factors of 30608 that divides 30603 without a remainder.

1, 2, 4, 8, 16, 1913, 3826, 7652, 15304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30603 and 30608. The biggest common factor number is the GCF number.
So the greatest common factor 30603 and 30608 is 1.

Also check out the Least Common Multiple of 30603 and 30608