What is the Greatest Common Factor of 49400 and 49417?

Greatest common factor (GCF) of 49400 and 49417 is 1.

GCF(49400,49417) = 1

We will now calculate the prime factors of 49400 and 49417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49400 and 49417.

How to find the GCF of 49400 and 49417?

We will first find the prime factorization of 49400 and 49417. After we will calculate the factors of 49400 and 49417 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 49417

Prime factors of 49417 are 49417. Prime factorization of 49417 in exponential form is:

49417 = 49417¹

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 49417

List of positive integer factors of 49417 that divides 49400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49400 and 49417. The biggest common factor number is the GCF number.
So the greatest common factor 49400 and 49417 is 1.

Also check out the Least Common Multiple of 49400 and 49417