What is the Greatest Common Factor of 62730 and 62750?

Greatest common factor (GCF) of 62730 and 62750 is 10.

GCF(62730,62750) = 10

We will now calculate the prime factors of 62730 and 62750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62730 and 62750.

How to find the GCF of 62730 and 62750?

We will first find the prime factorization of 62730 and 62750. After we will calculate the factors of 62730 and 62750 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 62750

Prime factors of 62750 are 2, 5, 251. Prime factorization of 62750 in exponential form is:

62750 = 2¹ × 5³ × 251¹

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 62750

List of positive integer factors of 62750 that divides 62730 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 251, 502, 1255, 2510, 6275, 12550, 31375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62730 and 62750. The biggest common factor number is the GCF number.
So the greatest common factor 62730 and 62750 is 10.

Also check out the Least Common Multiple of 62730 and 62750