What is the Greatest Common Factor of 58640 and 58648?

Greatest common factor (GCF) of 58640 and 58648 is 8.

GCF(58640,58648) = 8

We will now calculate the prime factors of 58640 and 58648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58640 and 58648.

How to find the GCF of 58640 and 58648?

We will first find the prime factorization of 58640 and 58648. After we will calculate the factors of 58640 and 58648 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 58648

Prime factors of 58648 are 2, 7331. Prime factorization of 58648 in exponential form is:

58648 = 2³ × 7331¹

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 58648

List of positive integer factors of 58648 that divides 58640 without a remainder.

1, 2, 4, 8, 7331, 14662, 29324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58640 and 58648. The biggest common factor number is the GCF number.
So the greatest common factor 58640 and 58648 is 8.

Also check out the Least Common Multiple of 58640 and 58648