What is the Greatest Common Factor of 49590 and 49594?

Greatest common factor (GCF) of 49590 and 49594 is 2.

GCF(49590,49594) = 2

We will now calculate the prime factors of 49590 and 49594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49590 and 49594.

How to find the GCF of 49590 and 49594?

We will first find the prime factorization of 49590 and 49594. After we will calculate the factors of 49590 and 49594 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 49594

Prime factors of 49594 are 2, 137, 181. Prime factorization of 49594 in exponential form is:

49594 = 2¹ × 137¹ × 181¹

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 49594

List of positive integer factors of 49594 that divides 49590 without a remainder.

1, 2, 137, 181, 274, 362, 24797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49590 and 49594. The biggest common factor number is the GCF number.
So the greatest common factor 49590 and 49594 is 2.

Also check out the Least Common Multiple of 49590 and 49594