What is the Greatest Common Factor of 62304 and 62315?

Greatest common factor (GCF) of 62304 and 62315 is 11.

GCF(62304,62315) = 11

We will now calculate the prime factors of 62304 and 62315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62304 and 62315.

How to find the GCF of 62304 and 62315?

We will first find the prime factorization of 62304 and 62315. After we will calculate the factors of 62304 and 62315 and find the biggest common factor number .

Step-1: Prime Factorization of 62304

Prime factors of 62304 are 2, 3, 11, 59. Prime factorization of 62304 in exponential form is:

62304 = 2⁵ × 3¹ × 11¹ × 59¹

Step-2: Prime Factorization of 62315

Prime factors of 62315 are 5, 11, 103. Prime factorization of 62315 in exponential form is:

62315 = 5¹ × 11² × 103¹

Step-3: Factors of 62304

List of positive integer factors of 62304 that divides 62304 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 59, 66, 88, 96, 118, 132, 176, 177, 236, 264, 352, 354, 472, 528, 649, 708, 944, 1056, 1298, 1416, 1888, 1947, 2596, 2832, 3894, 5192, 5664, 7788, 10384, 15576, 20768, 31152

Step-4: Factors of 62315

List of positive integer factors of 62315 that divides 62304 without a remainder.

1, 5, 11, 55, 103, 121, 515, 605, 1133, 5665, 12463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62304 and 62315. The biggest common factor number is the GCF number.
So the greatest common factor 62304 and 62315 is 11.

Also check out the Least Common Multiple of 62304 and 62315