What is the Greatest Common Factor of 62292 and 62304?

Greatest common factor (GCF) of 62292 and 62304 is 12.

GCF(62292,62304) = 12

We will now calculate the prime factors of 62292 and 62304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62292 and 62304.

How to find the GCF of 62292 and 62304?

We will first find the prime factorization of 62292 and 62304. After we will calculate the factors of 62292 and 62304 and find the biggest common factor number .

Step-1: Prime Factorization of 62292

Prime factors of 62292 are 2, 3, 29, 179. Prime factorization of 62292 in exponential form is:

62292 = 2² × 3¹ × 29¹ × 179¹

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 62292

List of positive integer factors of 62292 that divides 62292 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 179, 348, 358, 537, 716, 1074, 2148, 5191, 10382, 15573, 20764, 31146

Step-4: Factors of 62304

List of positive integer factors of 62304 that divides 62292 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 62292 and 62304. The biggest common factor number is the GCF number.
So the greatest common factor 62292 and 62304 is 12.

Also check out the Least Common Multiple of 62292 and 62304