What is the Greatest Common Factor of 48574 and 48587?

Greatest common factor (GCF) of 48574 and 48587 is 1.

GCF(48574,48587) = 1

We will now calculate the prime factors of 48574 and 48587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48574 and 48587.

How to find the GCF of 48574 and 48587?

We will first find the prime factorization of 48574 and 48587. After we will calculate the factors of 48574 and 48587 and find the biggest common factor number .

Step-1: Prime Factorization of 48574

Prime factors of 48574 are 2, 149, 163. Prime factorization of 48574 in exponential form is:

48574 = 2¹ × 149¹ × 163¹

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 48574

List of positive integer factors of 48574 that divides 48574 without a remainder.

1, 2, 149, 163, 298, 326, 24287

Step-4: Factors of 48587

List of positive integer factors of 48587 that divides 48574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48574 and 48587. The biggest common factor number is the GCF number.
So the greatest common factor 48574 and 48587 is 1.

Also check out the Least Common Multiple of 48574 and 48587