What is the Greatest Common Factor of 49590 and 49609?

Greatest common factor (GCF) of 49590 and 49609 is 19.

GCF(49590,49609) = 19

We will now calculate the prime factors of 49590 and 49609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49590 and 49609.

How to find the GCF of 49590 and 49609?

We will first find the prime factorization of 49590 and 49609. After we will calculate the factors of 49590 and 49609 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 49609

Prime factors of 49609 are 7, 19, 373. Prime factorization of 49609 in exponential form is:

49609 = 7¹ × 19¹ × 373¹

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 49609

List of positive integer factors of 49609 that divides 49590 without a remainder.

1, 7, 19, 133, 373, 2611, 7087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49590 and 49609. The biggest common factor number is the GCF number.
So the greatest common factor 49590 and 49609 is 19.

Also check out the Least Common Multiple of 49590 and 49609