What is the Greatest Common Factor of 30540 and 30550?

Greatest common factor (GCF) of 30540 and 30550 is 10.

GCF(30540,30550) = 10

We will now calculate the prime factors of 30540 and 30550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30540 and 30550.

How to find the GCF of 30540 and 30550?

We will first find the prime factorization of 30540 and 30550. After we will calculate the factors of 30540 and 30550 and find the biggest common factor number .

Step-1: Prime Factorization of 30540

Prime factors of 30540 are 2, 3, 5, 509. Prime factorization of 30540 in exponential form is:

30540 = 2² × 3¹ × 5¹ × 509¹

Step-2: Prime Factorization of 30550

Prime factors of 30550 are 2, 5, 13, 47. Prime factorization of 30550 in exponential form is:

30550 = 2¹ × 5² × 13¹ × 47¹

Step-3: Factors of 30540

List of positive integer factors of 30540 that divides 30540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 509, 1018, 1527, 2036, 2545, 3054, 5090, 6108, 7635, 10180, 15270

Step-4: Factors of 30550

List of positive integer factors of 30550 that divides 30540 without a remainder.

1, 2, 5, 10, 13, 25, 26, 47, 50, 65, 94, 130, 235, 325, 470, 611, 650, 1175, 1222, 2350, 3055, 6110, 15275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30540 and 30550. The biggest common factor number is the GCF number.
So the greatest common factor 30540 and 30550 is 10.

Also check out the Least Common Multiple of 30540 and 30550