What is the Greatest Common Factor of 48437 and 48448?

Greatest common factor (GCF) of 48437 and 48448 is 1.

GCF(48437,48448) = 1

We will now calculate the prime factors of 48437 and 48448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48437 and 48448.

How to find the GCF of 48437 and 48448?

We will first find the prime factorization of 48437 and 48448. After we will calculate the factors of 48437 and 48448 and find the biggest common factor number .

Step-1: Prime Factorization of 48437

Prime factors of 48437 are 48437. Prime factorization of 48437 in exponential form is:

48437 = 48437¹

Step-2: Prime Factorization of 48448

Prime factors of 48448 are 2, 757. Prime factorization of 48448 in exponential form is:

48448 = 2⁶ × 757¹

Step-3: Factors of 48437

List of positive integer factors of 48437 that divides 48437 without a remainder.

Step-4: Factors of 48448

List of positive integer factors of 48448 that divides 48437 without a remainder.

1, 2, 4, 8, 16, 32, 64, 757, 1514, 3028, 6056, 12112, 24224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48437 and 48448. The biggest common factor number is the GCF number.
So the greatest common factor 48437 and 48448 is 1.

Also check out the Least Common Multiple of 48437 and 48448