What is the Greatest Common Factor of 48720 and 48730?

Greatest common factor (GCF) of 48720 and 48730 is 10.

GCF(48720,48730) = 10

We will now calculate the prime factors of 48720 and 48730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48720 and 48730.

How to find the GCF of 48720 and 48730?

We will first find the prime factorization of 48720 and 48730. After we will calculate the factors of 48720 and 48730 and find the biggest common factor number .

Step-1: Prime Factorization of 48720

Prime factors of 48720 are 2, 3, 5, 7, 29. Prime factorization of 48720 in exponential form is:

48720 = 2⁴ × 3¹ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 48730

Prime factors of 48730 are 2, 5, 11, 443. Prime factorization of 48730 in exponential form is:

48730 = 2¹ × 5¹ × 11¹ × 443¹

Step-3: Factors of 48720

List of positive integer factors of 48720 that divides 48720 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 105, 112, 116, 120, 140, 145, 168, 174, 203, 210, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 560, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 3045, 3248, 3480, 4060, 4872, 6090, 6960, 8120, 9744, 12180, 16240, 24360

Step-4: Factors of 48730

List of positive integer factors of 48730 that divides 48720 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 443, 886, 2215, 4430, 4873, 9746, 24365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48720 and 48730. The biggest common factor number is the GCF number.
So the greatest common factor 48720 and 48730 is 10.

Also check out the Least Common Multiple of 48720 and 48730