What is the Greatest Common Factor of 49320 and 49340?

Greatest common factor (GCF) of 49320 and 49340 is 20.

GCF(49320,49340) = 20

We will now calculate the prime factors of 49320 and 49340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49320 and 49340.

How to find the GCF of 49320 and 49340?

We will first find the prime factorization of 49320 and 49340. After we will calculate the factors of 49320 and 49340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49340

Prime factors of 49340 are 2, 5, 2467. Prime factorization of 49340 in exponential form is:

49340 = 2² × 5¹ × 2467¹

Step-3: Factors of 49320

List of positive integer factors of 49320 that divides 49320 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

Step-4: Factors of 49340

List of positive integer factors of 49340 that divides 49320 without a remainder.

1, 2, 4, 5, 10, 20, 2467, 4934, 9868, 12335, 24670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49320 and 49340. The biggest common factor number is the GCF number.
So the greatest common factor 49320 and 49340 is 20.

Also check out the Least Common Multiple of 49320 and 49340