What is the Greatest Common Factor of 30640 and 30655?

Greatest common factor (GCF) of 30640 and 30655 is 5.

GCF(30640,30655) = 5

We will now calculate the prime factors of 30640 and 30655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30640 and 30655.

How to find the GCF of 30640 and 30655?

We will first find the prime factorization of 30640 and 30655. After we will calculate the factors of 30640 and 30655 and find the biggest common factor number .

Step-1: Prime Factorization of 30640

Prime factors of 30640 are 2, 5, 383. Prime factorization of 30640 in exponential form is:

30640 = 2⁴ × 5¹ × 383¹

Step-2: Prime Factorization of 30655

Prime factors of 30655 are 5, 6131. Prime factorization of 30655 in exponential form is:

30655 = 5¹ × 6131¹

Step-3: Factors of 30640

List of positive integer factors of 30640 that divides 30640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 383, 766, 1532, 1915, 3064, 3830, 6128, 7660, 15320

Step-4: Factors of 30655

List of positive integer factors of 30655 that divides 30640 without a remainder.

1, 5, 6131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30640 and 30655. The biggest common factor number is the GCF number.
So the greatest common factor 30640 and 30655 is 5.

Also check out the Least Common Multiple of 30640 and 30655