What is the Greatest Common Factor of 49245 and 49260?

Greatest common factor (GCF) of 49245 and 49260 is 15.

GCF(49245,49260) = 15

We will now calculate the prime factors of 49245 and 49260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49245 and 49260.

How to find the GCF of 49245 and 49260?

We will first find the prime factorization of 49245 and 49260. After we will calculate the factors of 49245 and 49260 and find the biggest common factor number .

Step-1: Prime Factorization of 49245

Prime factors of 49245 are 3, 5, 7, 67. Prime factorization of 49245 in exponential form is:

49245 = 3¹ × 5¹ × 7² × 67¹

Step-2: Prime Factorization of 49260

Prime factors of 49260 are 2, 3, 5, 821. Prime factorization of 49260 in exponential form is:

49260 = 2² × 3¹ × 5¹ × 821¹

Step-3: Factors of 49245

List of positive integer factors of 49245 that divides 49245 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 67, 105, 147, 201, 245, 335, 469, 735, 1005, 1407, 2345, 3283, 7035, 9849, 16415

Step-4: Factors of 49260

List of positive integer factors of 49260 that divides 49245 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 821, 1642, 2463, 3284, 4105, 4926, 8210, 9852, 12315, 16420, 24630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49245 and 49260. The biggest common factor number is the GCF number.
So the greatest common factor 49245 and 49260 is 15.

Also check out the Least Common Multiple of 49245 and 49260