What is the Greatest Common Factor of 48269 and 48285?

Greatest common factor (GCF) of 48269 and 48285 is 1.

GCF(48269,48285) = 1

We will now calculate the prime factors of 48269 and 48285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48269 and 48285.

How to find the GCF of 48269 and 48285?

We will first find the prime factorization of 48269 and 48285. After we will calculate the factors of 48269 and 48285 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 48285

Prime factors of 48285 are 3, 5, 29, 37. Prime factorization of 48285 in exponential form is:

48285 = 3² × 5¹ × 29¹ × 37¹

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 48285

List of positive integer factors of 48285 that divides 48269 without a remainder.

1, 3, 5, 9, 15, 29, 37, 45, 87, 111, 145, 185, 261, 333, 435, 555, 1073, 1305, 1665, 3219, 5365, 9657, 16095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48269 and 48285. The biggest common factor number is the GCF number.
So the greatest common factor 48269 and 48285 is 1.

Also check out the Least Common Multiple of 48269 and 48285