What is the Greatest Common Factor of 62310 and 62325?

Greatest common factor (GCF) of 62310 and 62325 is 15.

GCF(62310,62325) = 15

We will now calculate the prime factors of 62310 and 62325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62310 and 62325.

How to find the GCF of 62310 and 62325?

We will first find the prime factorization of 62310 and 62325. After we will calculate the factors of 62310 and 62325 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 62325

Prime factors of 62325 are 3, 5, 277. Prime factorization of 62325 in exponential form is:

62325 = 3² × 5² × 277¹

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 62325

List of positive integer factors of 62325 that divides 62310 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 277, 831, 1385, 2493, 4155, 6925, 12465, 20775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62310 and 62325. The biggest common factor number is the GCF number.
So the greatest common factor 62310 and 62325 is 15.

Also check out the Least Common Multiple of 62310 and 62325