What is the Greatest Common Factor of 48601 and 48618?

Greatest common factor (GCF) of 48601 and 48618 is 1.

GCF(48601,48618) = 1

We will now calculate the prime factors of 48601 and 48618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48601 and 48618.

How to find the GCF of 48601 and 48618?

We will first find the prime factorization of 48601 and 48618. After we will calculate the factors of 48601 and 48618 and find the biggest common factor number .

Step-1: Prime Factorization of 48601

Prime factors of 48601 are 7, 53, 131. Prime factorization of 48601 in exponential form is:

48601 = 7¹ × 53¹ × 131¹

Step-2: Prime Factorization of 48618

Prime factors of 48618 are 2, 3, 37, 73. Prime factorization of 48618 in exponential form is:

48618 = 2¹ × 3² × 37¹ × 73¹

Step-3: Factors of 48601

List of positive integer factors of 48601 that divides 48601 without a remainder.

1, 7, 53, 131, 371, 917, 6943

Step-4: Factors of 48618

List of positive integer factors of 48618 that divides 48601 without a remainder.

1, 2, 3, 6, 9, 18, 37, 73, 74, 111, 146, 219, 222, 333, 438, 657, 666, 1314, 2701, 5402, 8103, 16206, 24309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48601 and 48618. The biggest common factor number is the GCF number.
So the greatest common factor 48601 and 48618 is 1.

Also check out the Least Common Multiple of 48601 and 48618