What is the Greatest Common Factor of 48571 and 48580?

Greatest common factor (GCF) of 48571 and 48580 is 1.

GCF(48571,48580) = 1

We will now calculate the prime factors of 48571 and 48580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48571 and 48580.

How to find the GCF of 48571 and 48580?

We will first find the prime factorization of 48571 and 48580. After we will calculate the factors of 48571 and 48580 and find the biggest common factor number .

Step-1: Prime Factorization of 48571

Prime factors of 48571 are 48571. Prime factorization of 48571 in exponential form is:

48571 = 48571¹

Step-2: Prime Factorization of 48580

Prime factors of 48580 are 2, 5, 7, 347. Prime factorization of 48580 in exponential form is:

48580 = 2² × 5¹ × 7¹ × 347¹

Step-3: Factors of 48571

List of positive integer factors of 48571 that divides 48571 without a remainder.

Step-4: Factors of 48580

List of positive integer factors of 48580 that divides 48571 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 347, 694, 1388, 1735, 2429, 3470, 4858, 6940, 9716, 12145, 24290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48571 and 48580. The biggest common factor number is the GCF number.
So the greatest common factor 48571 and 48580 is 1.

Also check out the Least Common Multiple of 48571 and 48580