What is the Greatest Common Factor of 48584 and 48601?

Greatest common factor (GCF) of 48584 and 48601 is 1.

GCF(48584,48601) = 1

We will now calculate the prime factors of 48584 and 48601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48584 and 48601.

How to find the GCF of 48584 and 48601?

We will first find the prime factorization of 48584 and 48601. After we will calculate the factors of 48584 and 48601 and find the biggest common factor number .

Step-1: Prime Factorization of 48584

Prime factors of 48584 are 2, 6073. Prime factorization of 48584 in exponential form is:

48584 = 2³ × 6073¹

Step-2: 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-3: Factors of 48584

List of positive integer factors of 48584 that divides 48584 without a remainder.

1, 2, 4, 8, 6073, 12146, 24292

Step-4: Factors of 48601

List of positive integer factors of 48601 that divides 48584 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48584 and 48601. The biggest common factor number is the GCF number.
So the greatest common factor 48584 and 48601 is 1.

Also check out the Least Common Multiple of 48584 and 48601