What is the Greatest Common Factor of 49400 and 49409?

Greatest common factor (GCF) of 49400 and 49409 is 1.

GCF(49400,49409) = 1

We will now calculate the prime factors of 49400 and 49409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49400 and 49409.

How to find the GCF of 49400 and 49409?

We will first find the prime factorization of 49400 and 49409. After we will calculate the factors of 49400 and 49409 and find the biggest common factor number .

Step-1: Prime Factorization of 49400

Prime factors of 49400 are 2, 5, 13, 19. Prime factorization of 49400 in exponential form is:

49400 = 2³ × 5² × 13¹ × 19¹

Step-2: Prime Factorization of 49409

Prime factors of 49409 are 49409. Prime factorization of 49409 in exponential form is:

49409 = 49409¹

Step-3: Factors of 49400

List of positive integer factors of 49400 that divides 49400 without a remainder.

1, 2, 4, 5, 8, 10, 13, 19, 20, 25, 26, 38, 40, 50, 52, 65, 76, 95, 100, 104, 130, 152, 190, 200, 247, 260, 325, 380, 475, 494, 520, 650, 760, 950, 988, 1235, 1300, 1900, 1976, 2470, 2600, 3800, 4940, 6175, 9880, 12350, 24700

Step-4: Factors of 49409

List of positive integer factors of 49409 that divides 49400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49400 and 49409. The biggest common factor number is the GCF number.
So the greatest common factor 49400 and 49409 is 1.

Also check out the Least Common Multiple of 49400 and 49409