What is the Greatest Common Factor of 62310 and 62328?

Greatest common factor (GCF) of 62310 and 62328 is 6.

GCF(62310,62328) = 6

We will now calculate the prime factors of 62310 and 62328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62310 and 62328.

How to find the GCF of 62310 and 62328?

We will first find the prime factorization of 62310 and 62328. After we will calculate the factors of 62310 and 62328 and find the biggest common factor number .

Step-1: Prime Factorization of 62310

Prime factors of 62310 are 2, 3, 5, 31, 67. Prime factorization of 62310 in exponential form is:

62310 = 2¹ × 3¹ × 5¹ × 31¹ × 67¹

Step-2: Prime Factorization of 62328

Prime factors of 62328 are 2, 3, 7, 53. Prime factorization of 62328 in exponential form is:

62328 = 2³ × 3¹ × 7² × 53¹

Step-3: Factors of 62310

List of positive integer factors of 62310 that divides 62310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 67, 93, 134, 155, 186, 201, 310, 335, 402, 465, 670, 930, 1005, 2010, 2077, 4154, 6231, 10385, 12462, 20770, 31155

Step-4: Factors of 62328

List of positive integer factors of 62328 that divides 62310 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 53, 56, 84, 98, 106, 147, 159, 168, 196, 212, 294, 318, 371, 392, 424, 588, 636, 742, 1113, 1176, 1272, 1484, 2226, 2597, 2968, 4452, 5194, 7791, 8904, 10388, 15582, 20776, 31164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62310 and 62328. The biggest common factor number is the GCF number.
So the greatest common factor 62310 and 62328 is 6.

Also check out the Least Common Multiple of 62310 and 62328