What is the Greatest Common Factor of 48546 and 48557?

Greatest common factor (GCF) of 48546 and 48557 is 1.

GCF(48546,48557) = 1

We will now calculate the prime factors of 48546 and 48557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48546 and 48557.

How to find the GCF of 48546 and 48557?

We will first find the prime factorization of 48546 and 48557. After we will calculate the factors of 48546 and 48557 and find the biggest common factor number .

Step-1: Prime Factorization of 48546

Prime factors of 48546 are 2, 3, 29, 31. Prime factorization of 48546 in exponential form is:

48546 = 2¹ × 3³ × 29¹ × 31¹

Step-2: Prime Factorization of 48557

Prime factors of 48557 are 59, 823. Prime factorization of 48557 in exponential form is:

48557 = 59¹ × 823¹

Step-3: Factors of 48546

List of positive integer factors of 48546 that divides 48546 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 31, 54, 58, 62, 87, 93, 174, 186, 261, 279, 522, 558, 783, 837, 899, 1566, 1674, 1798, 2697, 5394, 8091, 16182, 24273

Step-4: Factors of 48557

List of positive integer factors of 48557 that divides 48546 without a remainder.

1, 59, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48546 and 48557. The biggest common factor number is the GCF number.
So the greatest common factor 48546 and 48557 is 1.

Also check out the Least Common Multiple of 48546 and 48557