What is the Greatest Common Factor of 48461 and 48479?

Greatest common factor (GCF) of 48461 and 48479 is 1.

GCF(48461,48479) = 1

We will now calculate the prime factors of 48461 and 48479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48461 and 48479.

How to find the GCF of 48461 and 48479?

We will first find the prime factorization of 48461 and 48479. After we will calculate the factors of 48461 and 48479 and find the biggest common factor number .

Step-1: Prime Factorization of 48461

Prime factors of 48461 are 7, 23, 43. Prime factorization of 48461 in exponential form is:

48461 = 7² × 23¹ × 43¹

Step-2: Prime Factorization of 48479

Prime factors of 48479 are 48479. Prime factorization of 48479 in exponential form is:

48479 = 48479¹

Step-3: Factors of 48461

List of positive integer factors of 48461 that divides 48461 without a remainder.

1, 7, 23, 43, 49, 161, 301, 989, 1127, 2107, 6923

Step-4: Factors of 48479

List of positive integer factors of 48479 that divides 48461 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48461 and 48479. The biggest common factor number is the GCF number.
So the greatest common factor 48461 and 48479 is 1.

Also check out the Least Common Multiple of 48461 and 48479