What is the Greatest Common Factor of 48414 and 48425?

Greatest common factor (GCF) of 48414 and 48425 is 1.

GCF(48414,48425) = 1

We will now calculate the prime factors of 48414 and 48425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48414 and 48425.

How to find the GCF of 48414 and 48425?

We will first find the prime factorization of 48414 and 48425. After we will calculate the factors of 48414 and 48425 and find the biggest common factor number .

Step-1: Prime Factorization of 48414

Prime factors of 48414 are 2, 3, 8069. Prime factorization of 48414 in exponential form is:

48414 = 2¹ × 3¹ × 8069¹

Step-2: Prime Factorization of 48425

Prime factors of 48425 are 5, 13, 149. Prime factorization of 48425 in exponential form is:

48425 = 5² × 13¹ × 149¹

Step-3: Factors of 48414

List of positive integer factors of 48414 that divides 48414 without a remainder.

1, 2, 3, 6, 8069, 16138, 24207

Step-4: Factors of 48425

List of positive integer factors of 48425 that divides 48414 without a remainder.

1, 5, 13, 25, 65, 149, 325, 745, 1937, 3725, 9685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48414 and 48425. The biggest common factor number is the GCF number.
So the greatest common factor 48414 and 48425 is 1.

Also check out the Least Common Multiple of 48414 and 48425