What is the Greatest Common Factor of 49248 and 49260?

Greatest common factor (GCF) of 49248 and 49260 is 12.

GCF(49248,49260) = 12

We will now calculate the prime factors of 49248 and 49260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49248 and 49260.

How to find the GCF of 49248 and 49260?

We will first find the prime factorization of 49248 and 49260. After we will calculate the factors of 49248 and 49260 and find the biggest common factor number .

Step-1: Prime Factorization of 49248

Prime factors of 49248 are 2, 3, 19. Prime factorization of 49248 in exponential form is:

49248 = 2⁵ × 3⁴ × 19¹

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 49248

List of positive integer factors of 49248 that divides 49248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 72, 76, 81, 96, 108, 114, 144, 152, 162, 171, 216, 228, 288, 304, 324, 342, 432, 456, 513, 608, 648, 684, 864, 912, 1026, 1296, 1368, 1539, 1824, 2052, 2592, 2736, 3078, 4104, 5472, 6156, 8208, 12312, 16416, 24624

Step-4: Factors of 49260

List of positive integer factors of 49260 that divides 49248 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 49248 and 49260. The biggest common factor number is the GCF number.
So the greatest common factor 49248 and 49260 is 12.

Also check out the Least Common Multiple of 49248 and 49260