What is the Greatest Common Factor of 60709 and 60720?

Greatest common factor (GCF) of 60709 and 60720 is 11.

GCF(60709,60720) = 11

We will now calculate the prime factors of 60709 and 60720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60709 and 60720.

How to find the GCF of 60709 and 60720?

We will first find the prime factorization of 60709 and 60720. After we will calculate the factors of 60709 and 60720 and find the biggest common factor number .

Step-1: Prime Factorization of 60709

Prime factors of 60709 are 11, 5519. Prime factorization of 60709 in exponential form is:

60709 = 11¹ × 5519¹

Step-2: 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-3: Factors of 60709

List of positive integer factors of 60709 that divides 60709 without a remainder.

1, 11, 5519

Step-4: Factors of 60720

List of positive integer factors of 60720 that divides 60709 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60709 and 60720. The biggest common factor number is the GCF number.
So the greatest common factor 60709 and 60720 is 11.

Also check out the Least Common Multiple of 60709 and 60720