What is the Greatest Common Factor of 62289 and 62304?

Greatest common factor (GCF) of 62289 and 62304 is 3.

GCF(62289,62304) = 3

We will now calculate the prime factors of 62289 and 62304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62289 and 62304.

How to find the GCF of 62289 and 62304?

We will first find the prime factorization of 62289 and 62304. After we will calculate the factors of 62289 and 62304 and find the biggest common factor number .

Step-1: Prime Factorization of 62289

Prime factors of 62289 are 3, 769. Prime factorization of 62289 in exponential form is:

62289 = 3⁴ × 769¹

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 62289

List of positive integer factors of 62289 that divides 62289 without a remainder.

1, 3, 9, 27, 81, 769, 2307, 6921, 20763

Step-4: Factors of 62304

List of positive integer factors of 62304 that divides 62289 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 62289 and 62304. The biggest common factor number is the GCF number.
So the greatest common factor 62289 and 62304 is 3.

Also check out the Least Common Multiple of 62289 and 62304