What is the Greatest Common Factor of 48456 and 48469?

Greatest common factor (GCF) of 48456 and 48469 is 1.

GCF(48456,48469) = 1

We will now calculate the prime factors of 48456 and 48469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48456 and 48469.

How to find the GCF of 48456 and 48469?

We will first find the prime factorization of 48456 and 48469. After we will calculate the factors of 48456 and 48469 and find the biggest common factor number .

Step-1: Prime Factorization of 48456

Prime factors of 48456 are 2, 3, 673. Prime factorization of 48456 in exponential form is:

48456 = 2³ × 3² × 673¹

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 48456

List of positive integer factors of 48456 that divides 48456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 673, 1346, 2019, 2692, 4038, 5384, 6057, 8076, 12114, 16152, 24228

Step-4: Factors of 48469

List of positive integer factors of 48469 that divides 48456 without a remainder.

1, 19, 2551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48456 and 48469. The biggest common factor number is the GCF number.
So the greatest common factor 48456 and 48469 is 1.

Also check out the Least Common Multiple of 48456 and 48469