What is the Greatest Common Factor of 49315 and 49320?

Greatest common factor (GCF) of 49315 and 49320 is 5.

GCF(49315,49320) = 5

We will now calculate the prime factors of 49315 and 49320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49315 and 49320.

How to find the GCF of 49315 and 49320?

We will first find the prime factorization of 49315 and 49320. After we will calculate the factors of 49315 and 49320 and find the biggest common factor number .

Step-1: Prime Factorization of 49315

Prime factors of 49315 are 5, 7, 1409. Prime factorization of 49315 in exponential form is:

49315 = 5¹ × 7¹ × 1409¹

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 49315

List of positive integer factors of 49315 that divides 49315 without a remainder.

1, 5, 7, 35, 1409, 7045, 9863

Step-4: Factors of 49320

List of positive integer factors of 49320 that divides 49315 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 49315 and 49320. The biggest common factor number is the GCF number.
So the greatest common factor 49315 and 49320 is 5.

Also check out the Least Common Multiple of 49315 and 49320