What is the Greatest Common Factor of 48400 and 48407?

Greatest common factor (GCF) of 48400 and 48407 is 1.

GCF(48400,48407) = 1

We will now calculate the prime factors of 48400 and 48407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48400 and 48407.

How to find the GCF of 48400 and 48407?

We will first find the prime factorization of 48400 and 48407. After we will calculate the factors of 48400 and 48407 and find the biggest common factor number .

Step-1: Prime Factorization of 48400

Prime factors of 48400 are 2, 5, 11. Prime factorization of 48400 in exponential form is:

48400 = 2⁴ × 5² × 11²

Step-2: Prime Factorization of 48407

Prime factors of 48407 are 48407. Prime factorization of 48407 in exponential form is:

48407 = 48407¹

Step-3: Factors of 48400

List of positive integer factors of 48400 that divides 48400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 121, 176, 200, 220, 242, 275, 400, 440, 484, 550, 605, 880, 968, 1100, 1210, 1936, 2200, 2420, 3025, 4400, 4840, 6050, 9680, 12100, 24200

Step-4: Factors of 48407

List of positive integer factors of 48407 that divides 48400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48400 and 48407. The biggest common factor number is the GCF number.
So the greatest common factor 48400 and 48407 is 1.

Also check out the Least Common Multiple of 48400 and 48407