What is the Greatest Common Factor of 48409 and 48426?

Greatest common factor (GCF) of 48409 and 48426 is 1.

GCF(48409,48426) = 1

We will now calculate the prime factors of 48409 and 48426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48409 and 48426.

How to find the GCF of 48409 and 48426?

We will first find the prime factorization of 48409 and 48426. After we will calculate the factors of 48409 and 48426 and find the biggest common factor number .

Step-1: Prime Factorization of 48409

Prime factors of 48409 are 48409. Prime factorization of 48409 in exponential form is:

48409 = 48409¹

Step-2: Prime Factorization of 48426

Prime factors of 48426 are 2, 3, 7, 1153. Prime factorization of 48426 in exponential form is:

48426 = 2¹ × 3¹ × 7¹ × 1153¹

Step-3: Factors of 48409

List of positive integer factors of 48409 that divides 48409 without a remainder.

Step-4: Factors of 48426

List of positive integer factors of 48426 that divides 48409 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1153, 2306, 3459, 6918, 8071, 16142, 24213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48409 and 48426. The biggest common factor number is the GCF number.
So the greatest common factor 48409 and 48426 is 1.

Also check out the Least Common Multiple of 48409 and 48426