What is the Greatest Common Factor of 30100 and 30107?

Greatest common factor (GCF) of 30100 and 30107 is 7.

GCF(30100,30107) = 7

We will now calculate the prime factors of 30100 and 30107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30100 and 30107.

How to find the GCF of 30100 and 30107?

We will first find the prime factorization of 30100 and 30107. After we will calculate the factors of 30100 and 30107 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 30107

Prime factors of 30107 are 7, 11, 17, 23. Prime factorization of 30107 in exponential form is:

30107 = 7¹ × 11¹ × 17¹ × 23¹

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 30107

List of positive integer factors of 30107 that divides 30100 without a remainder.

1, 7, 11, 17, 23, 77, 119, 161, 187, 253, 391, 1309, 1771, 2737, 4301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30100 and 30107. The biggest common factor number is the GCF number.
So the greatest common factor 30100 and 30107 is 7.

Also check out the Least Common Multiple of 30100 and 30107