What is the Greatest Common Factor of 49400 and 49415?

Greatest common factor (GCF) of 49400 and 49415 is 5.

GCF(49400,49415) = 5

We will now calculate the prime factors of 49400 and 49415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49400 and 49415.

How to find the GCF of 49400 and 49415?

We will first find the prime factorization of 49400 and 49415. After we will calculate the factors of 49400 and 49415 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 49415

Prime factors of 49415 are 5, 9883. Prime factorization of 49415 in exponential form is:

49415 = 5¹ × 9883¹

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 49415

List of positive integer factors of 49415 that divides 49400 without a remainder.

1, 5, 9883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49400 and 49415. The biggest common factor number is the GCF number.
So the greatest common factor 49400 and 49415 is 5.

Also check out the Least Common Multiple of 49400 and 49415