What is the Greatest Common Factor of 30534 and 30540?

Greatest common factor (GCF) of 30534 and 30540 is 6.

GCF(30534,30540) = 6

We will now calculate the prime factors of 30534 and 30540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30534 and 30540.

How to find the GCF of 30534 and 30540?

We will first find the prime factorization of 30534 and 30540. After we will calculate the factors of 30534 and 30540 and find the biggest common factor number .

Step-1: Prime Factorization of 30534

Prime factors of 30534 are 2, 3, 7, 727. Prime factorization of 30534 in exponential form is:

30534 = 2¹ × 3¹ × 7¹ × 727¹

Step-2: 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-3: Factors of 30534

List of positive integer factors of 30534 that divides 30534 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 727, 1454, 2181, 4362, 5089, 10178, 15267

Step-4: Factors of 30540

List of positive integer factors of 30540 that divides 30534 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30534 and 30540. The biggest common factor number is the GCF number.
So the greatest common factor 30534 and 30540 is 6.

Also check out the Least Common Multiple of 30534 and 30540