What is the Greatest Common Factor of 48269 and 48281?

Greatest common factor (GCF) of 48269 and 48281 is 1.

GCF(48269,48281) = 1

We will now calculate the prime factors of 48269 and 48281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48269 and 48281.

How to find the GCF of 48269 and 48281?

We will first find the prime factorization of 48269 and 48281. After we will calculate the factors of 48269 and 48281 and find the biggest common factor number .

Step-1: Prime Factorization of 48269

Prime factors of 48269 are 13, 47, 79. Prime factorization of 48269 in exponential form is:

48269 = 13¹ × 47¹ × 79¹

Step-2: Prime Factorization of 48281

Prime factors of 48281 are 48281. Prime factorization of 48281 in exponential form is:

48281 = 48281¹

Step-3: Factors of 48269

List of positive integer factors of 48269 that divides 48269 without a remainder.

1, 13, 47, 79, 611, 1027, 3713

Step-4: Factors of 48281

List of positive integer factors of 48281 that divides 48269 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48269 and 48281. The biggest common factor number is the GCF number.
So the greatest common factor 48269 and 48281 is 1.

Also check out the Least Common Multiple of 48269 and 48281