What is the Greatest Common Factor of 62352 and 62370?

Greatest common factor (GCF) of 62352 and 62370 is 18.

GCF(62352,62370) = 18

We will now calculate the prime factors of 62352 and 62370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62352 and 62370.

How to find the GCF of 62352 and 62370?

We will first find the prime factorization of 62352 and 62370. After we will calculate the factors of 62352 and 62370 and find the biggest common factor number .

Step-1: Prime Factorization of 62352

Prime factors of 62352 are 2, 3, 433. Prime factorization of 62352 in exponential form is:

62352 = 2⁴ × 3² × 433¹

Step-2: 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-3: Factors of 62352

List of positive integer factors of 62352 that divides 62352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 433, 866, 1299, 1732, 2598, 3464, 3897, 5196, 6928, 7794, 10392, 15588, 20784, 31176

Step-4: Factors of 62370

List of positive integer factors of 62370 that divides 62352 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62352 and 62370. The biggest common factor number is the GCF number.
So the greatest common factor 62352 and 62370 is 18.

Also check out the Least Common Multiple of 62352 and 62370