What is the Greatest Common Factor of 60720 and 60733?

Greatest common factor (GCF) of 60720 and 60733 is 1.

GCF(60720,60733) = 1

We will now calculate the prime factors of 60720 and 60733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60720 and 60733.

How to find the GCF of 60720 and 60733?

We will first find the prime factorization of 60720 and 60733. After we will calculate the factors of 60720 and 60733 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 60733

Prime factors of 60733 are 60733. Prime factorization of 60733 in exponential form is:

60733 = 60733¹

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 60733

List of positive integer factors of 60733 that divides 60720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60720 and 60733. The biggest common factor number is the GCF number.
So the greatest common factor 60720 and 60733 is 1.

Also check out the Least Common Multiple of 60720 and 60733