What is the Greatest Common Factor of 48465 and 48469?

Greatest common factor (GCF) of 48465 and 48469 is 1.

GCF(48465,48469) = 1

We will now calculate the prime factors of 48465 and 48469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48465 and 48469.

How to find the GCF of 48465 and 48469?

We will first find the prime factorization of 48465 and 48469. After we will calculate the factors of 48465 and 48469 and find the biggest common factor number .

Step-1: Prime Factorization of 48465

Prime factors of 48465 are 3, 5, 359. Prime factorization of 48465 in exponential form is:

48465 = 3³ × 5¹ × 359¹

Step-2: Prime Factorization of 48469

Prime factors of 48469 are 19, 2551. Prime factorization of 48469 in exponential form is:

48469 = 19¹ × 2551¹

Step-3: Factors of 48465

List of positive integer factors of 48465 that divides 48465 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 359, 1077, 1795, 3231, 5385, 9693, 16155

Step-4: Factors of 48469

List of positive integer factors of 48469 that divides 48465 without a remainder.

1, 19, 2551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48465 and 48469. The biggest common factor number is the GCF number.
So the greatest common factor 48465 and 48469 is 1.

Also check out the Least Common Multiple of 48465 and 48469