What is the Greatest Common Factor of 58640 and 58655?

Greatest common factor (GCF) of 58640 and 58655 is 5.

GCF(58640,58655) = 5

We will now calculate the prime factors of 58640 and 58655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58640 and 58655.

How to find the GCF of 58640 and 58655?

We will first find the prime factorization of 58640 and 58655. After we will calculate the factors of 58640 and 58655 and find the biggest common factor number .

Step-1: Prime Factorization of 58640

Prime factors of 58640 are 2, 5, 733. Prime factorization of 58640 in exponential form is:

58640 = 2⁴ × 5¹ × 733¹

Step-2: Prime Factorization of 58655

Prime factors of 58655 are 5, 11731. Prime factorization of 58655 in exponential form is:

58655 = 5¹ × 11731¹

Step-3: Factors of 58640

List of positive integer factors of 58640 that divides 58640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 733, 1466, 2932, 3665, 5864, 7330, 11728, 14660, 29320

Step-4: Factors of 58655

List of positive integer factors of 58655 that divides 58640 without a remainder.

1, 5, 11731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58640 and 58655. The biggest common factor number is the GCF number.
So the greatest common factor 58640 and 58655 is 5.

Also check out the Least Common Multiple of 58640 and 58655