What is the Greatest Common Factor of 48582 and 48587?

Greatest common factor (GCF) of 48582 and 48587 is 1.

GCF(48582,48587) = 1

We will now calculate the prime factors of 48582 and 48587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48582 and 48587.

How to find the GCF of 48582 and 48587?

We will first find the prime factorization of 48582 and 48587. After we will calculate the factors of 48582 and 48587 and find the biggest common factor number .

Step-1: Prime Factorization of 48582

Prime factors of 48582 are 2, 3, 2699. Prime factorization of 48582 in exponential form is:

48582 = 2¹ × 3² × 2699¹

Step-2: Prime Factorization of 48587

Prime factors of 48587 are 7, 11, 631. Prime factorization of 48587 in exponential form is:

48587 = 7¹ × 11¹ × 631¹

Step-3: Factors of 48582

List of positive integer factors of 48582 that divides 48582 without a remainder.

1, 2, 3, 6, 9, 18, 2699, 5398, 8097, 16194, 24291

Step-4: Factors of 48587

List of positive integer factors of 48587 that divides 48582 without a remainder.

1, 7, 11, 77, 631, 4417, 6941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48582 and 48587. The biggest common factor number is the GCF number.
So the greatest common factor 48582 and 48587 is 1.

Also check out the Least Common Multiple of 48582 and 48587