What is the Greatest Common Factor of 62720 and 62730?

Greatest common factor (GCF) of 62720 and 62730 is 10.

GCF(62720,62730) = 10

We will now calculate the prime factors of 62720 and 62730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62720 and 62730.

How to find the GCF of 62720 and 62730?

We will first find the prime factorization of 62720 and 62730. After we will calculate the factors of 62720 and 62730 and find the biggest common factor number .

Step-1: Prime Factorization of 62720

Prime factors of 62720 are 2, 5, 7. Prime factorization of 62720 in exponential form is:

62720 = 2⁸ × 5¹ × 7²

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 62720

List of positive integer factors of 62720 that divides 62720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 112, 128, 140, 160, 196, 224, 245, 256, 280, 320, 392, 448, 490, 560, 640, 784, 896, 980, 1120, 1280, 1568, 1792, 1960, 2240, 3136, 3920, 4480, 6272, 7840, 8960, 12544, 15680, 31360

Step-4: Factors of 62730

List of positive integer factors of 62730 that divides 62720 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 62720 and 62730. The biggest common factor number is the GCF number.
So the greatest common factor 62720 and 62730 is 10.

Also check out the Least Common Multiple of 62720 and 62730