What is the Greatest Common Factor of 62724 and 62730?

Greatest common factor (GCF) of 62724 and 62730 is 6.

GCF(62724,62730) = 6

We will now calculate the prime factors of 62724 and 62730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62724 and 62730.

How to find the GCF of 62724 and 62730?

We will first find the prime factorization of 62724 and 62730. After we will calculate the factors of 62724 and 62730 and find the biggest common factor number .

Step-1: Prime Factorization of 62724

Prime factors of 62724 are 2, 3, 5227. Prime factorization of 62724 in exponential form is:

62724 = 2² × 3¹ × 5227¹

Step-2: Prime Factorization of 62730

Prime factors of 62730 are 2, 3, 5, 17, 41. Prime factorization of 62730 in exponential form is:

62730 = 2¹ × 3² × 5¹ × 17¹ × 41¹

Step-3: Factors of 62724

List of positive integer factors of 62724 that divides 62724 without a remainder.

1, 2, 3, 4, 6, 12, 5227, 10454, 15681, 20908, 31362

Step-4: Factors of 62730

List of positive integer factors of 62730 that divides 62724 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 41, 45, 51, 82, 85, 90, 102, 123, 153, 170, 205, 246, 255, 306, 369, 410, 510, 615, 697, 738, 765, 1230, 1394, 1530, 1845, 2091, 3485, 3690, 4182, 6273, 6970, 10455, 12546, 20910, 31365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62724 and 62730. The biggest common factor number is the GCF number.
So the greatest common factor 62724 and 62730 is 6.

Also check out the Least Common Multiple of 62724 and 62730