What is the Greatest Common Factor of 30100 and 30110?

Greatest common factor (GCF) of 30100 and 30110 is 10.

GCF(30100,30110) = 10

We will now calculate the prime factors of 30100 and 30110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30100 and 30110.

How to find the GCF of 30100 and 30110?

We will first find the prime factorization of 30100 and 30110. After we will calculate the factors of 30100 and 30110 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 30110

Prime factors of 30110 are 2, 5, 3011. Prime factorization of 30110 in exponential form is:

30110 = 2¹ × 5¹ × 3011¹

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 30110

List of positive integer factors of 30110 that divides 30100 without a remainder.

1, 2, 5, 10, 3011, 6022, 15055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30100 and 30110. The biggest common factor number is the GCF number.
So the greatest common factor 30100 and 30110 is 10.

Also check out the Least Common Multiple of 30100 and 30110