What is the Greatest Common Factor of 48573 and 48577?

Greatest common factor (GCF) of 48573 and 48577 is 1.

GCF(48573,48577) = 1

We will now calculate the prime factors of 48573 and 48577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48573 and 48577.

How to find the GCF of 48573 and 48577?

We will first find the prime factorization of 48573 and 48577. After we will calculate the factors of 48573 and 48577 and find the biggest common factor number .

Step-1: Prime Factorization of 48573

Prime factors of 48573 are 3, 7, 257. Prime factorization of 48573 in exponential form is:

48573 = 3³ × 7¹ × 257¹

Step-2: Prime Factorization of 48577

Prime factors of 48577 are 31, 1567. Prime factorization of 48577 in exponential form is:

48577 = 31¹ × 1567¹

Step-3: Factors of 48573

List of positive integer factors of 48573 that divides 48573 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 257, 771, 1799, 2313, 5397, 6939, 16191

Step-4: Factors of 48577

List of positive integer factors of 48577 that divides 48573 without a remainder.

1, 31, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48573 and 48577. The biggest common factor number is the GCF number.
So the greatest common factor 48573 and 48577 is 1.

Also check out the Least Common Multiple of 48573 and 48577