What is the Greatest Common Factor of 62823 and 62832?

Greatest common factor (GCF) of 62823 and 62832 is 3.

GCF(62823,62832) = 3

We will now calculate the prime factors of 62823 and 62832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62823 and 62832.

How to find the GCF of 62823 and 62832?

We will first find the prime factorization of 62823 and 62832. After we will calculate the factors of 62823 and 62832 and find the biggest common factor number .

Step-1: Prime Factorization of 62823

Prime factors of 62823 are 3, 43, 487. Prime factorization of 62823 in exponential form is:

62823 = 3¹ × 43¹ × 487¹

Step-2: Prime Factorization of 62832

Prime factors of 62832 are 2, 3, 7, 11, 17. Prime factorization of 62832 in exponential form is:

62832 = 2⁴ × 3¹ × 7¹ × 11¹ × 17¹

Step-3: Factors of 62823

List of positive integer factors of 62823 that divides 62823 without a remainder.

1, 3, 43, 129, 487, 1461, 20941

Step-4: Factors of 62832

List of positive integer factors of 62832 that divides 62823 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 17, 21, 22, 24, 28, 33, 34, 42, 44, 48, 51, 56, 66, 68, 77, 84, 88, 102, 112, 119, 132, 136, 154, 168, 176, 187, 204, 231, 238, 264, 272, 308, 336, 357, 374, 408, 462, 476, 528, 561, 616, 714, 748, 816, 924, 952, 1122, 1232, 1309, 1428, 1496, 1848, 1904, 2244, 2618, 2856, 2992, 3696, 3927, 4488, 5236, 5712, 7854, 8976, 10472, 15708, 20944, 31416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62823 and 62832. The biggest common factor number is the GCF number.
So the greatest common factor 62823 and 62832 is 3.

Also check out the Least Common Multiple of 62823 and 62832