What is the Greatest Common Factor of 48601 and 48621?

Greatest common factor (GCF) of 48601 and 48621 is 1.

GCF(48601,48621) = 1

We will now calculate the prime factors of 48601 and 48621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48601 and 48621.

How to find the GCF of 48601 and 48621?

We will first find the prime factorization of 48601 and 48621. After we will calculate the factors of 48601 and 48621 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 48621

Prime factors of 48621 are 3, 19, 853. Prime factorization of 48621 in exponential form is:

48621 = 3¹ × 19¹ × 853¹

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 48621

List of positive integer factors of 48621 that divides 48601 without a remainder.

1, 3, 19, 57, 853, 2559, 16207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48601 and 48621. The biggest common factor number is the GCF number.
So the greatest common factor 48601 and 48621 is 1.

Also check out the Least Common Multiple of 48601 and 48621