What is the Greatest Common Factor of 62370 and 62384?

Greatest common factor (GCF) of 62370 and 62384 is 14.

GCF(62370,62384) = 14

We will now calculate the prime factors of 62370 and 62384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62370 and 62384.

How to find the GCF of 62370 and 62384?

We will first find the prime factorization of 62370 and 62384. After we will calculate the factors of 62370 and 62384 and find the biggest common factor number .

Step-1: Prime Factorization of 62370

Prime factors of 62370 are 2, 3, 5, 7, 11. Prime factorization of 62370 in exponential form is:

62370 = 2¹ × 3⁴ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 62384

Prime factors of 62384 are 2, 7, 557. Prime factorization of 62384 in exponential form is:

62384 = 2⁴ × 7¹ × 557¹

Step-3: Factors of 62370

List of positive integer factors of 62370 that divides 62370 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 27, 30, 33, 35, 42, 45, 54, 55, 63, 66, 70, 77, 81, 90, 99, 105, 110, 126, 135, 154, 162, 165, 189, 198, 210, 231, 270, 297, 315, 330, 378, 385, 405, 462, 495, 567, 594, 630, 693, 770, 810, 891, 945, 990, 1134, 1155, 1386, 1485, 1782, 1890, 2079, 2310, 2835, 2970, 3465, 4158, 4455, 5670, 6237, 6930, 8910, 10395, 12474, 20790, 31185

Step-4: Factors of 62384

List of positive integer factors of 62384 that divides 62370 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 557, 1114, 2228, 3899, 4456, 7798, 8912, 15596, 31192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62370 and 62384. The biggest common factor number is the GCF number.
So the greatest common factor 62370 and 62384 is 14.

Also check out the Least Common Multiple of 62370 and 62384