What is the Greatest Common Factor of 30740 and 30755?

Greatest common factor (GCF) of 30740 and 30755 is 5.

GCF(30740,30755) = 5

We will now calculate the prime factors of 30740 and 30755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30740 and 30755.

How to find the GCF of 30740 and 30755?

We will first find the prime factorization of 30740 and 30755. After we will calculate the factors of 30740 and 30755 and find the biggest common factor number .

Step-1: Prime Factorization of 30740

Prime factors of 30740 are 2, 5, 29, 53. Prime factorization of 30740 in exponential form is:

30740 = 2² × 5¹ × 29¹ × 53¹

Step-2: Prime Factorization of 30755

Prime factors of 30755 are 5, 6151. Prime factorization of 30755 in exponential form is:

30755 = 5¹ × 6151¹

Step-3: Factors of 30740

List of positive integer factors of 30740 that divides 30740 without a remainder.

1, 2, 4, 5, 10, 20, 29, 53, 58, 106, 116, 145, 212, 265, 290, 530, 580, 1060, 1537, 3074, 6148, 7685, 15370

Step-4: Factors of 30755

List of positive integer factors of 30755 that divides 30740 without a remainder.

1, 5, 6151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30740 and 30755. The biggest common factor number is the GCF number.
So the greatest common factor 30740 and 30755 is 5.

Also check out the Least Common Multiple of 30740 and 30755