What is the Greatest Common Factor of 30900 and 30920?

Greatest common factor (GCF) of 30900 and 30920 is 20.

GCF(30900,30920) = 20

We will now calculate the prime factors of 30900 and 30920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30900 and 30920.

How to find the GCF of 30900 and 30920?

We will first find the prime factorization of 30900 and 30920. After we will calculate the factors of 30900 and 30920 and find the biggest common factor number .

Step-1: Prime Factorization of 30900

Prime factors of 30900 are 2, 3, 5, 103. Prime factorization of 30900 in exponential form is:

30900 = 2² × 3¹ × 5² × 103¹

Step-2: Prime Factorization of 30920

Prime factors of 30920 are 2, 5, 773. Prime factorization of 30920 in exponential form is:

30920 = 2³ × 5¹ × 773¹

Step-3: Factors of 30900

List of positive integer factors of 30900 that divides 30900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 103, 150, 206, 300, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 2575, 3090, 5150, 6180, 7725, 10300, 15450

Step-4: Factors of 30920

List of positive integer factors of 30920 that divides 30900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 773, 1546, 3092, 3865, 6184, 7730, 15460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30900 and 30920. The biggest common factor number is the GCF number.
So the greatest common factor 30900 and 30920 is 20.

Also check out the Least Common Multiple of 30900 and 30920