What is the Greatest Common Factor of 60720 and 60730?

Greatest common factor (GCF) of 60720 and 60730 is 10.

GCF(60720,60730) = 10

We will now calculate the prime factors of 60720 and 60730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60720 and 60730.

How to find the GCF of 60720 and 60730?

We will first find the prime factorization of 60720 and 60730. After we will calculate the factors of 60720 and 60730 and find the biggest common factor number .

Step-1: Prime Factorization of 60720

Prime factors of 60720 are 2, 3, 5, 11, 23. Prime factorization of 60720 in exponential form is:

60720 = 2⁴ × 3¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 60730

Prime factors of 60730 are 2, 5, 6073. Prime factorization of 60730 in exponential form is:

60730 = 2¹ × 5¹ × 6073¹

Step-3: Factors of 60720

List of positive integer factors of 60720 that divides 60720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 23, 24, 30, 33, 40, 44, 46, 48, 55, 60, 66, 69, 80, 88, 92, 110, 115, 120, 132, 138, 165, 176, 184, 220, 230, 240, 253, 264, 276, 330, 345, 368, 440, 460, 506, 528, 552, 660, 690, 759, 880, 920, 1012, 1104, 1265, 1320, 1380, 1518, 1840, 2024, 2530, 2640, 2760, 3036, 3795, 4048, 5060, 5520, 6072, 7590, 10120, 12144, 15180, 20240, 30360

Step-4: Factors of 60730

List of positive integer factors of 60730 that divides 60720 without a remainder.

1, 2, 5, 10, 6073, 12146, 30365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60720 and 60730. The biggest common factor number is the GCF number.
So the greatest common factor 60720 and 60730 is 10.

Also check out the Least Common Multiple of 60720 and 60730