What is the Greatest Common Factor of 62730 and 62744?

Greatest common factor (GCF) of 62730 and 62744 is 2.

GCF(62730,62744) = 2

We will now calculate the prime factors of 62730 and 62744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62730 and 62744.

How to find the GCF of 62730 and 62744?

We will first find the prime factorization of 62730 and 62744. After we will calculate the factors of 62730 and 62744 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 62744

Prime factors of 62744 are 2, 11, 23, 31. Prime factorization of 62744 in exponential form is:

62744 = 2³ × 11¹ × 23¹ × 31¹

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 62744

List of positive integer factors of 62744 that divides 62730 without a remainder.

1, 2, 4, 8, 11, 22, 23, 31, 44, 46, 62, 88, 92, 124, 184, 248, 253, 341, 506, 682, 713, 1012, 1364, 1426, 2024, 2728, 2852, 5704, 7843, 15686, 31372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62730 and 62744. The biggest common factor number is the GCF number.
So the greatest common factor 62730 and 62744 is 2.

Also check out the Least Common Multiple of 62730 and 62744