What is the Greatest Common Factor of 30100 and 30117?

Greatest common factor (GCF) of 30100 and 30117 is 1.

GCF(30100,30117) = 1

We will now calculate the prime factors of 30100 and 30117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30100 and 30117.

How to find the GCF of 30100 and 30117?

We will first find the prime factorization of 30100 and 30117. After we will calculate the factors of 30100 and 30117 and find the biggest common factor number .

Step-1: Prime Factorization of 30100

Prime factors of 30100 are 2, 5, 7, 43. Prime factorization of 30100 in exponential form is:

30100 = 2² × 5² × 7¹ × 43¹

Step-2: Prime Factorization of 30117

Prime factors of 30117 are 3, 10039. Prime factorization of 30117 in exponential form is:

30117 = 3¹ × 10039¹

Step-3: Factors of 30100

List of positive integer factors of 30100 that divides 30100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 43, 50, 70, 86, 100, 140, 172, 175, 215, 301, 350, 430, 602, 700, 860, 1075, 1204, 1505, 2150, 3010, 4300, 6020, 7525, 15050

Step-4: Factors of 30117

List of positive integer factors of 30117 that divides 30100 without a remainder.

1, 3, 10039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30100 and 30117. The biggest common factor number is the GCF number.
So the greatest common factor 30100 and 30117 is 1.

Also check out the Least Common Multiple of 30100 and 30117