What is the Greatest Common Factor of 49306 and 49320?

Greatest common factor (GCF) of 49306 and 49320 is 2.

GCF(49306,49320) = 2

We will now calculate the prime factors of 49306 and 49320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49306 and 49320.

How to find the GCF of 49306 and 49320?

We will first find the prime factorization of 49306 and 49320. After we will calculate the factors of 49306 and 49320 and find the biggest common factor number .

Step-1: Prime Factorization of 49306

Prime factors of 49306 are 2, 89, 277. Prime factorization of 49306 in exponential form is:

49306 = 2¹ × 89¹ × 277¹

Step-2: Prime Factorization of 49320

Prime factors of 49320 are 2, 3, 5, 137. Prime factorization of 49320 in exponential form is:

49320 = 2³ × 3² × 5¹ × 137¹

Step-3: Factors of 49306

List of positive integer factors of 49306 that divides 49306 without a remainder.

1, 2, 89, 178, 277, 554, 24653

Step-4: Factors of 49320

List of positive integer factors of 49320 that divides 49306 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 137, 180, 274, 360, 411, 548, 685, 822, 1096, 1233, 1370, 1644, 2055, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 8220, 9864, 12330, 16440, 24660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49306 and 49320. The biggest common factor number is the GCF number.
So the greatest common factor 49306 and 49320 is 2.

Also check out the Least Common Multiple of 49306 and 49320