What is the Greatest Common Factor of 62730 and 62745?

Greatest common factor (GCF) of 62730 and 62745 is 15.

GCF(62730,62745) = 15

We will now calculate the prime factors of 62730 and 62745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62730 and 62745.

How to find the GCF of 62730 and 62745?

We will first find the prime factorization of 62730 and 62745. After we will calculate the factors of 62730 and 62745 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62745

Prime factors of 62745 are 3, 5, 47, 89. Prime factorization of 62745 in exponential form is:

62745 = 3¹ × 5¹ × 47¹ × 89¹

Step-3: Factors of 62730

List of positive integer factors of 62730 that divides 62730 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

Step-4: Factors of 62745

List of positive integer factors of 62745 that divides 62730 without a remainder.

1, 3, 5, 15, 47, 89, 141, 235, 267, 445, 705, 1335, 4183, 12549, 20915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62730 and 62745. The biggest common factor number is the GCF number.
So the greatest common factor 62730 and 62745 is 15.

Also check out the Least Common Multiple of 62730 and 62745