What is the Greatest Common Factor of 58212 and 58223?

Greatest common factor (GCF) of 58212 and 58223 is 11.

GCF(58212,58223) = 11

We will now calculate the prime factors of 58212 and 58223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58212 and 58223.

How to find the GCF of 58212 and 58223?

We will first find the prime factorization of 58212 and 58223. After we will calculate the factors of 58212 and 58223 and find the biggest common factor number .

Step-1: Prime Factorization of 58212

Prime factors of 58212 are 2, 3, 7, 11. Prime factorization of 58212 in exponential form is:

58212 = 2² × 3³ × 7² × 11¹

Step-2: Prime Factorization of 58223

Prime factors of 58223 are 11, 67, 79. Prime factorization of 58223 in exponential form is:

58223 = 11¹ × 67¹ × 79¹

Step-3: Factors of 58212

List of positive integer factors of 58212 that divides 58212 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 49, 54, 63, 66, 77, 84, 98, 99, 108, 126, 132, 147, 154, 189, 196, 198, 231, 252, 294, 297, 308, 378, 396, 441, 462, 539, 588, 594, 693, 756, 882, 924, 1078, 1188, 1323, 1386, 1617, 1764, 2079, 2156, 2646, 2772, 3234, 4158, 4851, 5292, 6468, 8316, 9702, 14553, 19404, 29106

Step-4: Factors of 58223

List of positive integer factors of 58223 that divides 58212 without a remainder.

1, 11, 67, 79, 737, 869, 5293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58212 and 58223. The biggest common factor number is the GCF number.
So the greatest common factor 58212 and 58223 is 11.

Also check out the Least Common Multiple of 58212 and 58223