What is the Greatest Common Factor of 49590 and 49605?

Greatest common factor (GCF) of 49590 and 49605 is 15.

GCF(49590,49605) = 15

We will now calculate the prime factors of 49590 and 49605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49590 and 49605.

How to find the GCF of 49590 and 49605?

We will first find the prime factorization of 49590 and 49605. After we will calculate the factors of 49590 and 49605 and find the biggest common factor number .

Step-1: Prime Factorization of 49590

Prime factors of 49590 are 2, 3, 5, 19, 29. Prime factorization of 49590 in exponential form is:

49590 = 2¹ × 3² × 5¹ × 19¹ × 29¹

Step-2: Prime Factorization of 49605

Prime factors of 49605 are 3, 5, 3307. Prime factorization of 49605 in exponential form is:

49605 = 3¹ × 5¹ × 3307¹

Step-3: Factors of 49590

List of positive integer factors of 49590 that divides 49590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 29, 30, 38, 45, 57, 58, 87, 90, 95, 114, 145, 171, 174, 190, 261, 285, 290, 342, 435, 522, 551, 570, 855, 870, 1102, 1305, 1653, 1710, 2610, 2755, 3306, 4959, 5510, 8265, 9918, 16530, 24795

Step-4: Factors of 49605

List of positive integer factors of 49605 that divides 49590 without a remainder.

1, 3, 5, 15, 3307, 9921, 16535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49590 and 49605. The biggest common factor number is the GCF number.
So the greatest common factor 49590 and 49605 is 15.

Also check out the Least Common Multiple of 49590 and 49605