What is the Greatest Common Factor of 30082 and 30101?

Greatest common factor (GCF) of 30082 and 30101 is 1.

GCF(30082,30101) = 1

We will now calculate the prime factors of 30082 and 30101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30082 and 30101.

How to find the GCF of 30082 and 30101?

We will first find the prime factorization of 30082 and 30101. After we will calculate the factors of 30082 and 30101 and find the biggest common factor number .

Step-1: Prime Factorization of 30082

Prime factors of 30082 are 2, 13, 89. Prime factorization of 30082 in exponential form is:

30082 = 2¹ × 13² × 89¹

Step-2: Prime Factorization of 30101

Prime factors of 30101 are 31, 971. Prime factorization of 30101 in exponential form is:

30101 = 31¹ × 971¹

Step-3: Factors of 30082

List of positive integer factors of 30082 that divides 30082 without a remainder.

1, 2, 13, 26, 89, 169, 178, 338, 1157, 2314, 15041

Step-4: Factors of 30101

List of positive integer factors of 30101 that divides 30082 without a remainder.

1, 31, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30082 and 30101. The biggest common factor number is the GCF number.
So the greatest common factor 30082 and 30101 is 1.

Also check out the Least Common Multiple of 30082 and 30101