What is the Greatest Common Factor of 62295 and 62304?

Greatest common factor (GCF) of 62295 and 62304 is 3.

GCF(62295,62304) = 3

We will now calculate the prime factors of 62295 and 62304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62295 and 62304.

How to find the GCF of 62295 and 62304?

We will first find the prime factorization of 62295 and 62304. After we will calculate the factors of 62295 and 62304 and find the biggest common factor number .

Step-1: Prime Factorization of 62295

Prime factors of 62295 are 3, 5, 4153. Prime factorization of 62295 in exponential form is:

62295 = 3¹ × 5¹ × 4153¹

Step-2: 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-3: Factors of 62295

List of positive integer factors of 62295 that divides 62295 without a remainder.

1, 3, 5, 15, 4153, 12459, 20765

Step-4: Factors of 62304

List of positive integer factors of 62304 that divides 62295 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62295 and 62304. The biggest common factor number is the GCF number.
So the greatest common factor 62295 and 62304 is 3.

Also check out the Least Common Multiple of 62295 and 62304